Closed 1-Forms and Twisted Cohomology

Name: Work Video:
Duration: 3 min 30 s
Andrei Moroianu; Mihaela Pilca
{'id': 'https://openalex.org/W3119330379', 'doi': 'https://doi.org/10.1007/s12220-020-00595-9', 'title': 'Closed 1-Forms and Twisted Cohomology', 'display_name': 'Closed 1-Forms and Twisted Cohomology', 'publication_year': 2021, 'publication_date': '2021-01-13', 'ids': {'openalex': 'https://openalex.org/W3119330379', 'doi': 'https://doi.org/10.1007/s12220-020-00595-9', 'mag': '3119330379'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s12220-020-00595-9', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S6775291', 'display_name': 'Journal of Geometric Analysis', 'issn_l': '1050-6926', 'issn': ['1050-6926', '1559-002X'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319900', 'host_organization_name': 'Springer Science+Business Media', 'host_organization_lineage': ['https://openalex.org/P4310319965', 'https://openalex.org/P4310319900'], 'host_organization_lineage_names': ['Springer Nature', 'Springer Science+Business Media'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['arxiv', 'crossref'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': 'https://arxiv.org/pdf/2003.10368', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5044547348', 'display_name': 'Andrei Moroianu', 'orcid': 'https://orcid.org/0000-0002-9799-1036'}, 'institutions': [{'id': 'https://openalex.org/I277688954', 'display_name': 'Université Paris-Saclay', 'ror': 'https://ror.org/03xjwb503', 'country_code': 'FR', 'type': 'education', 'lineage': ['https://openalex.org/I277688954']}, {'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': ['FR'], 'is_corresponding': True, 'raw_author_name': 'Andrei Moroianu', 'raw_affiliation_strings': ['Laboratoire de mathématiques d’Orsay, CNRS, Université Paris-Saclay, 91405, Orsay, France'], 'affiliations': [{'raw_affiliation_string': 'Laboratoire de mathématiques d’Orsay, CNRS, Université Paris-Saclay, 91405, Orsay, France', 'institution_ids': ['https://openalex.org/I277688954', 'https://openalex.org/I1294671590']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5072711304', 'display_name': 'Mihaela Pilca', 'orcid': 'https://orcid.org/0009-0006-6023-8557'}, 'institutions': [{'id': 'https://openalex.org/I60668342', 'display_name': 'University of Regensburg', 'ror': 'https://ror.org/01eezs655', 'country_code': 'DE', 'type': 'education', 'lineage': ['https://openalex.org/I60668342']}], 'countries': ['DE'], 'is_corresponding': False, 'raw_author_name': 'Mihaela Pilca', 'raw_affiliation_strings': ['Fakultät für Mathematik, Universität Regensburg, Universitätsstr. 31, 93040, Regensburg, Germany'], 'affiliations': [{'raw_affiliation_string': 'Fakultät für Mathematik, Universität Regensburg, Universitätsstr. 31, 93040, Regensburg, Germany', 'institution_ids': ['https://openalex.org/I60668342']}]}], 'institution_assertions': [], 'countries_distinct_count': 2, 'institutions_distinct_count': 3, 'corresponding_author_ids': ['https://openalex.org/A5044547348'], 'corresponding_institution_ids': ['https://openalex.org/I277688954', 'https://openalex.org/I1294671590'], 'apc_list': {'value': 2390, 'currency': 'EUR', 'value_usd': 2990, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 0.0, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 0, 'citation_normalized_percentile': {'value': 0.0, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 0, 'max': 57}, 'biblio': {'volume': '31', 'issue': '8', 'first_page': '8334', 'last_page': '8346'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10896', 'display_name': 'Homotopy and Cohomology in Algebraic Topology', 'score': 0.9998, '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'}}, 'topics': [{'id': 'https://openalex.org/T10896', 'display_name': 'Homotopy and Cohomology in Algebraic Topology', 'score': 0.9998, '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/T10304', 'display_name': 'Geometric and Algebraic Topology', 'score': 0.9997, '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/T12351', 'display_name': 'Geometry and complex manifolds', 'score': 0.9996, '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/fundamental-group', 'display_name': 'Fundamental group', 'score': 0.5663556}, {'id': 'https://openalex.org/keywords/čech-cohomology', 'display_name': 'Čech cohomology', 'score': 0.46960673}], 'concepts': [{'id': 'https://openalex.org/C78606066', 'wikidata': 'https://www.wikidata.org/wiki/Q1198376', 'display_name': 'Cohomology', 'level': 2, 'score': 0.88166606}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.74472034}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.72782505}, {'id': 'https://openalex.org/C2781311116', 'wikidata': 'https://www.wikidata.org/wiki/Q83306', 'display_name': 'Group (periodic table)', 'level': 2, 'score': 0.6024312}, {'id': 'https://openalex.org/C159876591', 'wikidata': 'https://www.wikidata.org/wiki/Q662830', 'display_name': 'Fundamental group', 'level': 2, 'score': 0.5663556}, {'id': 'https://openalex.org/C2780801425', 'wikidata': 'https://www.wikidata.org/wiki/Q5164392', 'display_name': 'Construct (python library)', 'level': 2, 'score': 0.5621617}, {'id': 'https://openalex.org/C155751095', 'wikidata': 'https://www.wikidata.org/wiki/Q1408937', 'display_name': 'Group cohomology', 'level': 3, 'score': 0.5592724}, {'id': 'https://openalex.org/C68365058', 'wikidata': 'https://www.wikidata.org/wiki/Q1179446', 'display_name': 'De Rham cohomology', 'level': 4, 'score': 0.49949098}, {'id': 'https://openalex.org/C74196217', 'wikidata': 'https://www.wikidata.org/wiki/Q1095535', 'display_name': 'Čech cohomology', 'level': 5, 'score': 0.46960673}, {'id': 'https://openalex.org/C45442697', 'wikidata': 'https://www.wikidata.org/wiki/Q8078429', 'display_name': 'Étale cohomology', 'level': 4, 'score': 0.4593845}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.44872847}, {'id': 'https://openalex.org/C72738302', 'wikidata': 'https://www.wikidata.org/wiki/Q5384738', 'display_name': 'Equivariant cohomology', 'level': 3, 'score': 0.43178284}, {'id': 'https://openalex.org/C184720557', 'wikidata': 'https://www.wikidata.org/wiki/Q7825049', 'display_name': 'Topology (electrical circuits)', 'level': 2, 'score': 0.32139948}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.15284213}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.1352053}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.13443133}, {'id': 'https://openalex.org/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C199360897', 'wikidata': 'https://www.wikidata.org/wiki/Q9143', 'display_name': 'Programming language', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 2, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s12220-020-00595-9', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S6775291', 'display_name': 'Journal of Geometric Analysis', 'issn_l': '1050-6926', 'issn': ['1050-6926', '1559-002X'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319900', 'host_organization_name': 'Springer Science+Business Media', 'host_organization_lineage': ['https://openalex.org/P4310319965', 'https://openalex.org/P4310319900'], 'host_organization_lineage_names': ['Springer Nature', 'Springer Science+Business Media'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/2003.10368', 'pdf_url': 'https://arxiv.org/pdf/2003.10368', '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://arxiv.org/abs/2003.10368', 'pdf_url': 'https://arxiv.org/pdf/2003.10368', '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}, 'sustainable_development_goals': [{'id': 'https://metadata.un.org/sdg/10', 'display_name': 'Reduced inequalities', 'score': 0.45}], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 6, 'referenced_works': ['https://openalex.org/W2051244734', 'https://openalex.org/W2163370999', 'https://openalex.org/W2550090755', 'https://openalex.org/W2913301080', 'https://openalex.org/W2963720485', 'https://openalex.org/W3096010660'], 'related_works': ['https://openalex.org/W4300751040', 'https://openalex.org/W3116699893', 'https://openalex.org/W3100282197', 'https://openalex.org/W2998916590', 'https://openalex.org/W2897863067', 'https://openalex.org/W2895793173', 'https://openalex.org/W2624810412', 'https://openalex.org/W2161066901', 'https://openalex.org/W1990583353', 'https://openalex.org/W1622013983'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W3119330379', 'counts_by_year': [], 'updated_date': '2024-12-09T18:44:25.587993', 'created_date': '2021-01-18'}
Publication Information

Basic Information

Access and Citation

AI Researcher Chatbot

Primary Location

Authors

Topics

Keywords

Related Works
