An invitation to singular symplectic geometry

Name: Work Video:
Duration: 3 min 30 s
Róisín Braddell; Amadeu Delshams; Eva Miranda; Cédric Oms; Arnau Planas
{'id': 'https://openalex.org/W2964192738', 'doi': 'https://doi.org/10.1142/s0219887819400085', 'title': 'An invitation to singular symplectic geometry', 'display_name': 'An invitation to singular symplectic geometry', 'publication_year': 2018, 'publication_date': '2018-10-15', 'ids': {'openalex': 'https://openalex.org/W2964192738', 'doi': 'https://doi.org/10.1142/s0219887819400085', 'mag': '2964192738'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1142/s0219887819400085', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S146144561', 'display_name': 'International Journal of Geometric Methods in Modern Physics', 'issn_l': '0219-8878', 'issn': ['0219-8878', '1793-6977'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319815', 'host_organization_name': 'World Scientific', 'host_organization_lineage': ['https://openalex.org/P4310319815'], 'host_organization_lineage_names': ['World Scientific'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': 'https://upcommons.upc.edu/bitstream/2117/106301/1/1705.03846.pdf', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5066252547', 'display_name': 'Róisín Braddell', 'orcid': 'https://orcid.org/0000-0002-2104-0509'}, 'institutions': [{'id': 'https://openalex.org/I4210091183', 'display_name': 'Barcelona Graduate School of Mathematics', 'ror': 'https://ror.org/00d5dd272', 'country_code': 'ES', 'type': 'education', 'lineage': ['https://openalex.org/I4210091183']}, {'id': 'https://openalex.org/I9617848', 'display_name': 'Universitat Politècnica de Catalunya', 'ror': 'https://ror.org/03mb6wj31', 'country_code': 'ES', 'type': 'education', 'lineage': ['https://openalex.org/I9617848']}, {'id': 'https://openalex.org/I54006703', 'display_name': 'Institut de Mécanique Céleste et de Calcul des Éphémérides', 'ror': 'https://ror.org/002zc3t08', 'country_code': 'FR', 'type': 'facility', 'lineage': ['https://openalex.org/I1294671590', 'https://openalex.org/I2279609970', 'https://openalex.org/I2746051580', 'https://openalex.org/I2800004676', 'https://openalex.org/I39804081', 'https://openalex.org/I4210148025', 'https://openalex.org/I54006703']}, {'id': 'https://openalex.org/I39804081', 'display_name': 'Sorbonne Université', 'ror': 'https://ror.org/02en5vm52', 'country_code': 'FR', 'type': 'education', 'lineage': ['https://openalex.org/I39804081']}, {'id': 'https://openalex.org/I2746051580', 'display_name': 'Université Paris Sciences et Lettres', 'ror': 'https://ror.org/013cjyk83', 'country_code': 'FR', 'type': 'education', 'lineage': ['https://openalex.org/I2746051580']}, {'id': 'https://openalex.org/I1294671590', 'display_name': 'Centre National de la Recherche Scientifique', 'ror': 'https://ror.org/02feahw73', 'country_code': 'FR', 'type': 'government', 'lineage': ['https://openalex.org/I1294671590']}], 'countries': ['ES', 'FR'], 'is_corresponding': False, 'raw_author_name': 'Roisin Braddell', 'raw_affiliation_strings': ['IMCCE, CNRS-UMR8028, Observatoire de Paris, PSL University, Sorbonne Université, 77 Avenue Denfert-Rochereau, 75014 Paris, France', 'Laboratory of Geometry and Dynamical Systems, Departament of Mathematics, EPSEB, Universitat Politècnica de Catalunya BGSMath Barcelona, Graduate School of Mathematics in Barcelona, Spain'], 'affiliations': [{'raw_affiliation_string': 'Laboratory of Geometry and Dynamical Systems, Departament of Mathematics, EPSEB, Universitat Politècnica de Catalunya BGSMath Barcelona, Graduate School of Mathematics in Barcelona, Spain', 'institution_ids': ['https://openalex.org/I4210091183', 'https://openalex.org/I9617848']}, {'raw_affiliation_string': 'IMCCE, CNRS-UMR8028, Observatoire de Paris, PSL University, Sorbonne Université, 77 Avenue Denfert-Rochereau, 75014 Paris, France', 'institution_ids': ['https://openalex.org/I54006703', 'https://openalex.org/I39804081', 'https://openalex.org/I2746051580', 'https://openalex.org/I1294671590']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5052889764', 'display_name': 'Amadeu Delshams', 'orcid': 'https://orcid.org/0000-0003-4134-8882'}, 'institutions': [{'id': 'https://openalex.org/I4210091183', 'display_name': 'Barcelona Graduate School of Mathematics', 'ror': 'https://ror.org/00d5dd272', 'country_code': 'ES', 'type': 'education', 'lineage': ['https://openalex.org/I4210091183']}, {'id': 'https://openalex.org/I9617848', 'display_name': 'Universitat Politècnica de Catalunya', 'ror': 'https://ror.org/03mb6wj31', 'country_code': 'ES', 'type': 'education', 'lineage': ['https://openalex.org/I9617848']}, {'id': 'https://openalex.org/I54006703', 'display_name': 'Institut de Mécanique Céleste et de Calcul des Éphémérides', 'ror': 'https://ror.org/002zc3t08', 'country_code': 'FR', 'type': 'facility', 'lineage': ['https://openalex.org/I1294671590', 'https://openalex.org/I2279609970', 'https://openalex.org/I2746051580', 'https://openalex.org/I2800004676', 'https://openalex.org/I39804081', 'https://openalex.org/I4210148025', 'https://openalex.org/I54006703']}, {'id': 'https://openalex.org/I39804081', 'display_name': 'Sorbonne Université', 'ror': 'https://ror.org/02en5vm52', 'country_code': 'FR', 'type': 'education', 'lineage': ['https://openalex.org/I39804081']}, {'id': 'https://openalex.org/I2746051580', 'display_name': 'Université Paris Sciences et Lettres', 'ror': 'https://ror.org/013cjyk83', 'country_code': 'FR', 'type': 'education', 'lineage': ['https://openalex.org/I2746051580']}, {'id': 'https://openalex.org/I1294671590', 'display_name': 'Centre National de la Recherche Scientifique', 'ror': 'https://ror.org/02feahw73', 'country_code': 'FR', 'type': 'government', 'lineage': ['https://openalex.org/I1294671590']}], 'countries': ['ES', 'FR'], 'is_corresponding': False, 'raw_author_name': 'Amadeu Delshams', 'raw_affiliation_strings': ['IMCCE, CNRS-UMR8028, Observatoire de Paris, PSL University, Sorbonne Université, 77 Avenue Denfert-Rochereau, 75014 Paris, France', 'Laboratory of Geometry and Dynamical Systems, Departament of Mathematics, EPSEB, Universitat Politècnica de Catalunya BGSMath Barcelona, Graduate School of Mathematics in Barcelona, Spain'], 'affiliations': [{'raw_affiliation_string': 'Laboratory of Geometry and Dynamical Systems, Departament of Mathematics, EPSEB, Universitat Politècnica de Catalunya BGSMath Barcelona, Graduate School of Mathematics in Barcelona, Spain', 'institution_ids': ['https://openalex.org/I4210091183', 'https://openalex.org/I9617848']}, {'raw_affiliation_string': 'IMCCE, CNRS-UMR8028, Observatoire de Paris, PSL University, Sorbonne Université, 77 Avenue Denfert-Rochereau, 75014 Paris, France', 'institution_ids': ['https://openalex.org/I54006703', 'https://openalex.org/I39804081', 'https://openalex.org/I2746051580', 'https://openalex.org/I1294671590']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5006617383', 'display_name': 'Eva Miranda', 'orcid': 'https://orcid.org/0000-0001-9518-5279'}, 'institutions': [{'id': 'https://openalex.org/I4210091183', 'display_name': 'Barcelona Graduate School of Mathematics', 'ror': 'https://ror.org/00d5dd272', 'country_code': 'ES', 'type': 'education', 'lineage': ['https://openalex.org/I4210091183']}, {'id': 'https://openalex.org/I9617848', 'display_name': 'Universitat Politècnica de Catalunya', 'ror': 'https://ror.org/03mb6wj31', 'country_code': 'ES', 'type': 'education', 'lineage': ['https://openalex.org/I9617848']}, {'id': 'https://openalex.org/I54006703', 'display_name': 'Institut de Mécanique Céleste et de Calcul des Éphémérides', 'ror': 'https://ror.org/002zc3t08', 'country_code': 'FR', 'type': 'facility', 'lineage': ['https://openalex.org/I1294671590', 'https://openalex.org/I2279609970', 'https://openalex.org/I2746051580', 'https://openalex.org/I2800004676', 'https://openalex.org/I39804081', 'https://openalex.org/I4210148025', 'https://openalex.org/I54006703']}, {'id': 'https://openalex.org/I39804081', 'display_name': 'Sorbonne Université', 'ror': 'https://ror.org/02en5vm52', 'country_code': 'FR', 'type': 'education', 'lineage': ['https://openalex.org/I39804081']}, {'id': 'https://openalex.org/I2746051580', 'display_name': 'Université Paris Sciences et Lettres', 'ror': 'https://ror.org/013cjyk83', 'country_code': 'FR', 'type': 'education', 'lineage': ['https://openalex.org/I2746051580']}, {'id': 'https://openalex.org/I1294671590', 'display_name': 'Centre National de la Recherche Scientifique', 'ror': 'https://ror.org/02feahw73', 'country_code': 'FR', 'type': 'government', 'lineage': ['https://openalex.org/I1294671590']}], 'countries': ['ES', 'FR'], 'is_corresponding': True, 'raw_author_name': 'Eva Miranda', 'raw_affiliation_strings': ['IMCCE, CNRS-UMR8028, Observatoire de Paris, PSL University, Sorbonne Université, 77 Avenue Denfert-Rochereau, 75014 Paris, France', 'Laboratory of Geometry and Dynamical Systems, Departament of Mathematics, EPSEB, Universitat Politècnica de Catalunya BGSMath Barcelona, Graduate School of Mathematics in Barcelona, Spain'], 'affiliations': [{'raw_affiliation_string': 'Laboratory of Geometry and Dynamical Systems, Departament of Mathematics, EPSEB, Universitat Politècnica de Catalunya BGSMath Barcelona, Graduate School of Mathematics in Barcelona, Spain', 'institution_ids': ['https://openalex.org/I4210091183', 'https://openalex.org/I9617848']}, {'raw_affiliation_string': 'IMCCE, CNRS-UMR8028, Observatoire de Paris, PSL University, Sorbonne Université, 77 Avenue Denfert-Rochereau, 75014 Paris, France', 'institution_ids': ['https://openalex.org/I54006703', 'https://openalex.org/I39804081', 'https://openalex.org/I2746051580', 'https://openalex.org/I1294671590']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5040330762', 'display_name': 'Cédric Oms', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I4210091183', 'display_name': 'Barcelona Graduate School of Mathematics', 'ror': 'https://ror.org/00d5dd272', 'country_code': 'ES', 'type': 'education', 'lineage': ['https://openalex.org/I4210091183']}, {'id': 'https://openalex.org/I9617848', 'display_name': 'Universitat Politècnica de Catalunya', 'ror': 'https://ror.org/03mb6wj31', 'country_code': 'ES', 'type': 'education', 'lineage': ['https://openalex.org/I9617848']}, {'id': 'https://openalex.org/I54006703', 'display_name': 'Institut de Mécanique Céleste et de Calcul des Éphémérides', 'ror': 'https://ror.org/002zc3t08', 'country_code': 'FR', 'type': 'facility', 'lineage': ['https://openalex.org/I1294671590', 'https://openalex.org/I2279609970', 'https://openalex.org/I2746051580', 'https://openalex.org/I2800004676', 'https://openalex.org/I39804081', 'https://openalex.org/I4210148025', 'https://openalex.org/I54006703']}, {'id': 'https://openalex.org/I39804081', 'display_name': 'Sorbonne Université', 'ror': 'https://ror.org/02en5vm52', 'country_code': 'FR', 'type': 'education', 'lineage': ['https://openalex.org/I39804081']}, {'id': 'https://openalex.org/I2746051580', 'display_name': 'Université Paris Sciences et Lettres', 'ror': 'https://ror.org/013cjyk83', 'country_code': 'FR', 'type': 'education', 'lineage': ['https://openalex.org/I2746051580']}, {'id': 'https://openalex.org/I1294671590', 'display_name': 'Centre National de la Recherche Scientifique', 'ror': 'https://ror.org/02feahw73', 'country_code': 'FR', 'type': 'government', 'lineage': ['https://openalex.org/I1294671590']}], 'countries': ['ES', 'FR'], 'is_corresponding': False, 'raw_author_name': 'Cédric Oms', 'raw_affiliation_strings': ['IMCCE, CNRS-UMR8028, Observatoire de Paris, PSL University, Sorbonne Université, 77 Avenue Denfert-Rochereau, 75014 Paris, France', 'Laboratory of Geometry and Dynamical Systems, Departament of Mathematics, EPSEB, Universitat Politècnica de Catalunya BGSMath Barcelona, Graduate School of Mathematics in Barcelona, Spain'], 'affiliations': [{'raw_affiliation_string': 'Laboratory of Geometry and Dynamical Systems, Departament of Mathematics, EPSEB, Universitat Politècnica de Catalunya BGSMath Barcelona, Graduate School of Mathematics in Barcelona, Spain', 'institution_ids': ['https://openalex.org/I4210091183', 'https://openalex.org/I9617848']}, {'raw_affiliation_string': 'IMCCE, CNRS-UMR8028, Observatoire de Paris, PSL University, Sorbonne Université, 77 Avenue Denfert-Rochereau, 75014 Paris, France', 'institution_ids': ['https://openalex.org/I54006703', 'https://openalex.org/I39804081', 'https://openalex.org/I2746051580', 'https://openalex.org/I1294671590']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5062468707', 'display_name': 'Arnau Planas', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I4210091183', 'display_name': 'Barcelona Graduate School of Mathematics', 'ror': 'https://ror.org/00d5dd272', 'country_code': 'ES', 'type': 'education', 'lineage': ['https://openalex.org/I4210091183']}, {'id': 'https://openalex.org/I9617848', 'display_name': 'Universitat Politècnica de Catalunya', 'ror': 'https://ror.org/03mb6wj31', 'country_code': 'ES', 'type': 'education', 'lineage': ['https://openalex.org/I9617848']}, {'id': 'https://openalex.org/I54006703', 'display_name': 'Institut de Mécanique Céleste et de Calcul des Éphémérides', 'ror': 'https://ror.org/002zc3t08', 'country_code': 'FR', 'type': 'facility', 'lineage': ['https://openalex.org/I1294671590', 'https://openalex.org/I2279609970', 'https://openalex.org/I2746051580', 'https://openalex.org/I2800004676', 'https://openalex.org/I39804081', 'https://openalex.org/I4210148025', 'https://openalex.org/I54006703']}, {'id': 'https://openalex.org/I39804081', 'display_name': 'Sorbonne Université', 'ror': 'https://ror.org/02en5vm52', 'country_code': 'FR', 'type': 'education', 'lineage': ['https://openalex.org/I39804081']}, {'id': 'https://openalex.org/I2746051580', 'display_name': 'Université Paris Sciences et Lettres', 'ror': 'https://ror.org/013cjyk83', 'country_code': 'FR', 'type': 'education', 'lineage': ['https://openalex.org/I2746051580']}, {'id': 'https://openalex.org/I1294671590', 'display_name': 'Centre National de la Recherche Scientifique', 'ror': 'https://ror.org/02feahw73', 'country_code': 'FR', 'type': 'government', 'lineage': ['https://openalex.org/I1294671590']}], 'countries': ['ES', 'FR'], 'is_corresponding': False, 'raw_author_name': 'Arnau Planas', 'raw_affiliation_strings': ['IMCCE, CNRS-UMR8028, Observatoire de Paris, PSL University, Sorbonne Université, 77 Avenue Denfert-Rochereau, 75014 Paris, France', 'Laboratory of Geometry and Dynamical Systems, Departament of Mathematics, EPSEB, Universitat Politècnica de Catalunya BGSMath Barcelona, Graduate School of Mathematics in Barcelona, Spain'], 'affiliations': [{'raw_affiliation_string': 'Laboratory of Geometry and Dynamical Systems, Departament of Mathematics, EPSEB, Universitat Politècnica de Catalunya BGSMath Barcelona, Graduate School of Mathematics in Barcelona, Spain', 'institution_ids': ['https://openalex.org/I4210091183', 'https://openalex.org/I9617848']}, {'raw_affiliation_string': 'IMCCE, CNRS-UMR8028, Observatoire de Paris, PSL University, Sorbonne Université, 77 Avenue Denfert-Rochereau, 75014 Paris, France', 'institution_ids': ['https://openalex.org/I54006703', 'https://openalex.org/I39804081', 'https://openalex.org/I2746051580', 'https://openalex.org/I1294671590']}]}], 'institution_assertions': [], 'countries_distinct_count': 2, 'institutions_distinct_count': 6, 'corresponding_author_ids': ['https://openalex.org/A5006617383'], 'corresponding_institution_ids': ['https://openalex.org/I4210091183', 'https://openalex.org/I9617848', 'https://openalex.org/I54006703', 'https://openalex.org/I39804081', 'https://openalex.org/I2746051580', 'https://openalex.org/I1294671590'], 'apc_list': None, 'apc_paid': None, 'fwci': 3.275, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 26, 'citation_normalized_percentile': {'value': 0.999799, 'is_in_top_1_percent': True, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 92, 'max': 93}, 'biblio': {'volume': '16', 'issue': 'supp01', 'first_page': '1940008', 'last_page': '1940008'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10304', 'display_name': 'Geometric and Algebraic Topology', 'score': 0.9975, 'subfield': {'id': 'https://openalex.org/subfields/2608', 'display_name': 'Geometry and Topology'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T10304', 'display_name': 'Geometric and Algebraic Topology', 'score': 0.9975, 'subfield': {'id': 'https://openalex.org/subfields/2608', 'display_name': 'Geometry and Topology'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T10896', 'display_name': 'Homotopy and Cohomology in Algebraic Topology', 'score': 0.9913, 'subfield': {'id': 'https://openalex.org/subfields/2610', 'display_name': 'Mathematical Physics'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T12351', 'display_name': 'Geometry and complex manifolds', 'score': 0.983, 'subfield': {'id': 'https://openalex.org/subfields/2608', 'display_name': 'Geometry and Topology'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/symplectomorphism', 'display_name': 'Symplectomorphism', 'score': 0.71504426}, {'id': 'https://openalex.org/keywords/symplectic-vector-space', 'display_name': 'Symplectic vector space', 'score': 0.68591285}, {'id': 'https://openalex.org/keywords/symplectic-matrix', 'display_name': 'Symplectic matrix', 'score': 0.6489258}, {'id': 'https://openalex.org/keywords/symplectic-group', 'display_name': 'Symplectic group', 'score': 0.5388555}], 'concepts': [{'id': 'https://openalex.org/C168619227', 'wikidata': 'https://www.wikidata.org/wiki/Q2190991', 'display_name': 'Symplectic geometry', 'level': 2, 'score': 0.96036005}, {'id': 'https://openalex.org/C104586451', 'wikidata': 'https://www.wikidata.org/wiki/Q771008', 'display_name': 'Symplectic representation', 'level': 4, 'score': 0.78800833}, {'id': 'https://openalex.org/C135661100', 'wikidata': 'https://www.wikidata.org/wiki/Q1049064', 'display_name': 'Symplectomorphism', 'level': 3, 'score': 0.71504426}, {'id': 'https://openalex.org/C40265840', 'wikidata': 'https://www.wikidata.org/wiki/Q6897118', 'display_name': 'Moment map', 'level': 3, 'score': 0.703661}, {'id': 'https://openalex.org/C125849494', 'wikidata': 'https://www.wikidata.org/wiki/Q766774', 'display_name': 'Symplectic vector space', 'level': 5, 'score': 0.68591285}, {'id': 'https://openalex.org/C185535465', 'wikidata': 'https://www.wikidata.org/wiki/Q2705070', 'display_name': 'Symplectic matrix', 'level': 5, 'score': 0.6489258}, {'id': 'https://openalex.org/C130190758', 'wikidata': 'https://www.wikidata.org/wiki/Q1064500', 'display_name': 'Symplectic manifold', 'level': 3, 'score': 0.56687057}, {'id': 'https://openalex.org/C175322374', 'wikidata': 'https://www.wikidata.org/wiki/Q936434', 'display_name': 'Symplectic group', 'level': 3, 'score': 0.5388555}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.51778257}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.51340115}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.3390995}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.32603818}], 'mesh': [], 'locations_count': 3, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1142/s0219887819400085', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S146144561', 'display_name': 'International Journal of Geometric Methods in Modern Physics', 'issn_l': '0219-8878', 'issn': ['0219-8878', '1793-6977'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319815', 'host_organization_name': 'World Scientific', 'host_organization_lineage': ['https://openalex.org/P4310319815'], 'host_organization_lineage_names': ['World Scientific'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'https://hdl.handle.net/2117/106301', 'pdf_url': 'https://upcommons.upc.edu/bitstream/2117/106301/1/1705.03846.pdf', 'source': {'id': 'https://openalex.org/S4306402147', 'display_name': 'RECERCAT (Consorci de Serveis Universitaris de Catalunya)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I4210090028', 'host_organization_name': 'Consorci de Serveis Universitaris de Catalunya', 'host_organization_lineage': ['https://openalex.org/I4210090028'], 'host_organization_lineage_names': ['Consorci de Serveis Universitaris de Catalunya'], 'type': 'repository'}, 'license': 'cc-by-nc-nd', 'license_id': 'https://openalex.org/licenses/cc-by-nc-nd', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'http://arxiv.org/abs/1705.03846', 'pdf_url': 'http://arxiv.org/pdf/1705.03846', 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I205783295', 'host_organization_name': 'Cornell University', 'host_organization_lineage': ['https://openalex.org/I205783295'], 'host_organization_lineage_names': ['Cornell University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://hdl.handle.net/2117/106301', 'pdf_url': 'https://upcommons.upc.edu/bitstream/2117/106301/1/1705.03846.pdf', 'source': {'id': 'https://openalex.org/S4306402147', 'display_name': 'RECERCAT (Consorci de Serveis Universitaris de Catalunya)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I4210090028', 'host_organization_name': 'Consorci de Serveis Universitaris de Catalunya', 'host_organization_lineage': ['https://openalex.org/I4210090028'], 'host_organization_lineage_names': ['Consorci de Serveis Universitaris de Catalunya'], 'type': 'repository'}, 'license': 'cc-by-nc-nd', 'license_id': 'https://openalex.org/licenses/cc-by-nc-nd', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'sustainable_development_goals': [{'id': 'https://metadata.un.org/sdg/10', 'display_name': 'Reduced inequalities', 'score': 0.42}], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 17, 'referenced_works': ['https://openalex.org/W1482020180', 'https://openalex.org/W2004784025', 'https://openalex.org/W2074527124', 'https://openalex.org/W2078804213', 'https://openalex.org/W2095150279', 'https://openalex.org/W2254056384', 'https://openalex.org/W2289370768', 'https://openalex.org/W2319442540', 'https://openalex.org/W2950522076', 'https://openalex.org/W2962758366', 'https://openalex.org/W2963013082', 'https://openalex.org/W2963771415', 'https://openalex.org/W3100001993', 'https://openalex.org/W3101658558', 'https://openalex.org/W3103839425', 'https://openalex.org/W3123892175', 'https://openalex.org/W3125739908'], 'related_works': ['https://openalex.org/W4298314373', 'https://openalex.org/W4298002997', 'https://openalex.org/W4283072418', 'https://openalex.org/W4230855783', 'https://openalex.org/W2359381322', 'https://openalex.org/W2130039642', 'https://openalex.org/W2098447220', 'https://openalex.org/W2076925422', 'https://openalex.org/W1972672132', 'https://openalex.org/W101992021'], 'abstract_inverted_index': {'In': [0, 22], 'this': [1], 'paper,': [2, 41], 'we': [3, 24, 42], 'analyze': [4], 'in': [5, 27], 'detail': [6], 'a': [7], 'collection': [8], 'of': [9, 39], 'motivating': [10], 'examples': [11], 'to': [12, 47], 'consider': [13], '[Formula:': [14, 32, 48, 52], 'see': [15, 33, 49, 53], 'text]-symplectic': [16, 34, 50], 'forms': [17], 'and': [18], 'folded-type': [19], 'symplectic': [20], 'structures.': [21], 'particular,': [23], 'provide': [25], 'models': [26], 'Celestial': [28], 'Mechanics': [29], 'for': [30], 'every': [31], 'structure.': [35], 'At': [36], 'the': [37, 40, 44], 'end': [38], 'introduce': [43], 'odd-dimensional': [45], 'analogue': [46], 'manifolds:': [51], 'text]-contact': [54], 'manifolds.': [55]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2964192738', 'counts_by_year': [{'year': 2024, 'cited_by_count': 4}, {'year': 2023, 'cited_by_count': 7}, {'year': 2022, 'cited_by_count': 2}, {'year': 2021, 'cited_by_count': 4}, {'year': 2020, 'cited_by_count': 5}, {'year': 2019, 'cited_by_count': 1}, {'year': 2018, 'cited_by_count': 3}], 'updated_date': '2024-12-20T15:53:50.269826', 'created_date': '2019-07-30'}
Publication Information

Basic Information

Access and Citation

AI Researcher Chatbot

Primary Location

Authors

Topics

Keywords

Related Works
