Publication Information

{'id': 'https://openalex.org/W2061630914', 'doi': 'https://doi.org/10.4310/mrl.2001.v8.n3.a12', 'title': 'Non-commutative Symplectic Geometry, Quiver varieties,$\\,$ and$\\,$ Operads', 'display_name': 'Non-commutative Symplectic Geometry, Quiver varieties,$\\,$ and$\\,$ Operads', 'publication_year': 2001, 'publication_date': '2001-01-01', 'ids': {'openalex': 'https://openalex.org/W2061630914', 'doi': 'https://doi.org/10.4310/mrl.2001.v8.n3.a12', 'mag': '2061630914'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.4310/mrl.2001.v8.n3.a12', 'pdf_url': 'https://www.intlpress.com/site/pub/files/_fulltext/journals/mrl/2001/0008/0003/MRL-2001-0008-0003-a012.pdf', 'source': {'id': 'https://openalex.org/S126920787', 'display_name': 'Mathematical Research Letters', 'issn_l': '1073-2780', 'issn': ['1073-2780', '1945-001X'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4327904645', 'host_organization_name': 'International Press of Boston', 'host_organization_lineage': ['https://openalex.org/P4327904645'], 'host_organization_lineage_names': ['International Press of Boston'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': True, 'oa_status': 'bronze', 'oa_url': 'https://www.intlpress.com/site/pub/files/_fulltext/journals/mrl/2001/0008/0003/MRL-2001-0008-0003-a012.pdf', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5045450945', 'display_name': 'Victor Ginzburg', 'orcid': 'https://orcid.org/0000-0001-5413-2998'}, 'institutions': [{'id': 'https://openalex.org/I40347166', 'display_name': 'University of Chicago', 'ror': 'https://ror.org/024mw5h28', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I40347166']}], 'countries': ['US'], 'is_corresponding': True, 'raw_author_name': 'Victor Ginzburg', 'raw_affiliation_strings': ['University-of Chicago'], 'affiliations': [{'raw_affiliation_string': 'University-of Chicago', 'institution_ids': ['https://openalex.org/I40347166']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5045450945'], 'corresponding_institution_ids': ['https://openalex.org/I40347166'], 'apc_list': None, 'apc_paid': None, 'fwci': 3.7, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 119, 'citation_normalized_percentile': {'value': 0.968358, 'is_in_top_1_percent': False, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 96, 'max': 97}, 'biblio': {'volume': '8', 'issue': '3', 'first_page': '377', 'last_page': '400'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10287', 'display_name': 'Algebraic structures and combinatorial models', 'score': 0.9999, '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/T10287', 'display_name': 'Algebraic structures and combinatorial models', 'score': 0.9999, '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': 0.9998, '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/T11673', 'display_name': 'Advanced Topics in Algebra', 'score': 0.9995, 'subfield': {'id': 'https://openalex.org/subfields/2602', 'display_name': 'Algebra and Number Theory'}, '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/quiver', 'display_name': 'Quiver', 'score': 0.8528578}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.884948}, {'id': 'https://openalex.org/C168310172', 'wikidata': 'https://www.wikidata.org/wiki/Q493980', 'display_name': 'Quiver', 'level': 2, 'score': 0.8528578}, {'id': 'https://openalex.org/C168619227', 'wikidata': 'https://www.wikidata.org/wiki/Q2190991', 'display_name': 'Symplectic geometry', 'level': 2, 'score': 0.84604406}, {'id': 'https://openalex.org/C183778304', 'wikidata': 'https://www.wikidata.org/wiki/Q165474', 'display_name': 'Commutative property', 'level': 2, 'score': 0.6246201}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.5712743}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.39942336}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.33890676}], 'mesh': [], 'locations_count': 3, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.4310/mrl.2001.v8.n3.a12', 'pdf_url': 'https://www.intlpress.com/site/pub/files/_fulltext/journals/mrl/2001/0008/0003/MRL-2001-0008-0003-a012.pdf', 'source': {'id': 'https://openalex.org/S126920787', 'display_name': 'Mathematical Research Letters', 'issn_l': '1073-2780', 'issn': ['1073-2780', '1945-001X'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4327904645', 'host_organization_name': 'International Press of Boston', 'host_organization_lineage': ['https://openalex.org/P4327904645'], 'host_organization_lineage_names': ['International Press of Boston'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, {'is_oa': True, 'landing_page_url': None, 'pdf_url': 'http://arxiv.org/pdf/math/0005165v2.pdf', '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}, {'is_oa': False, 'landing_page_url': 'http://arxiv.org/abs/math/0005165', 'pdf_url': None, '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': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.4310/mrl.2001.v8.n3.a12', 'pdf_url': 'https://www.intlpress.com/site/pub/files/_fulltext/journals/mrl/2001/0008/0003/MRL-2001-0008-0003-a012.pdf', 'source': {'id': 'https://openalex.org/S126920787', 'display_name': 'Mathematical Research Letters', 'issn_l': '1073-2780', 'issn': ['1073-2780', '1945-001X'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4327904645', 'host_organization_name': 'International Press of Boston', 'host_organization_lineage': ['https://openalex.org/P4327904645'], 'host_organization_lineage_names': ['International Press of Boston'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 19, 'referenced_works': ['https://openalex.org/W1513248130', 'https://openalex.org/W1575757764', 'https://openalex.org/W1633862936', 'https://openalex.org/W1697458833', 'https://openalex.org/W1985100609', 'https://openalex.org/W1995012452', 'https://openalex.org/W2022966562', 'https://openalex.org/W2031994553', 'https://openalex.org/W2035408167', 'https://openalex.org/W2052628645', 'https://openalex.org/W2137523622', 'https://openalex.org/W2177365012', 'https://openalex.org/W2313463225', 'https://openalex.org/W2587221905', 'https://openalex.org/W2963599377', 'https://openalex.org/W3133303454', 'https://openalex.org/W77766038', 'https://openalex.org/W79096586', 'https://openalex.org/W970893384'], 'related_works': ['https://openalex.org/W4301777497', 'https://openalex.org/W4299568288', 'https://openalex.org/W4289107396', 'https://openalex.org/W2980231599', 'https://openalex.org/W2963224437', 'https://openalex.org/W2962678887', 'https://openalex.org/W2613790979', 'https://openalex.org/W2408934194', 'https://openalex.org/W2255072746', 'https://openalex.org/W1615519068'], 'abstract_inverted_index': {'Quiver': [0], 'varieties': [1], 'have': [2], 'recently': [3], 'appeared': [4], 'in': [5, 49, 70, 100], 'various': [6], 'different': [7], 'areas': [8], 'of': [9, 15, 26, 52, 66, 82, 85, 106], 'Mathematics': [10], 'such': [11], 'as': [12, 46], 'representation': [13], 'theory': [14], 'Kac-Moody': [16], 'algebras': [17], 'and': [18, 24, 97], 'quantum': [19], 'groups,': [20], 'instantons': [21], 'on': [22, 72, 79], '4-manifolds,': [23], 'resolutions': [25], 'Kleinian': [27], 'singularities.In': [28], 'this': [29, 91], 'paper,': [30], 'we': [31], 'show': [32, 89], 'that': [33, 90], 'many': [34], 'important': [35], 'affine': [36], 'quiver': [37, 74], 'varieties,': [38], 'e.g.,': [39], 'the': [40, 50, 67, 73, 101], 'Calogero-Moser': [41], 'space,': [42], 'can': [43], 'be': [44], 'imbedded': [45], 'coadjoint': [47], 'orbits': [48], 'dual': [51], 'an': [53, 62, 80, 112, 115], 'appropriate': [54], 'infinite': [55], 'dimensional': [56], 'Lie': [57, 68], 'algebra.In': [58], 'particular,': [59], 'there': [60], 'is': [61, 77], 'infinitesimally': [63], 'transitive': [64], 'action': [65], 'algebra': [69, 113], 'question': [71], 'variety.Our': [75], 'construction': [76], 'based': [78], 'extension': [81], "Kontsevich's": [83], 'formalism': [84, 92], "'non-commutative": [86], 'symplectic': [87], "geometry'.We": [88], 'acquires': [93], 'its': [94], 'most': [95], 'adequate': [96], 'natural': [98], 'formulation': [99], 'much': [102], 'more': [103], 'general': [104], 'framework': [105], 'P-geometry,': [107], 'a': [108], "'noncommutative": [109], "geometry'": [110], 'for': [111], 'over': [114], 'arbitrary': [116], 'cyclic': [117], 'Koszul': [118], 'operad.': [119]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2061630914', 'counts_by_year': [{'year': 2023, 'cited_by_count': 4}, {'year': 2022, 'cited_by_count': 3}, {'year': 2021, 'cited_by_count': 3}, {'year': 2020, 'cited_by_count': 5}, {'year': 2019, 'cited_by_count': 1}, {'year': 2018, 'cited_by_count': 5}, {'year': 2017, 'cited_by_count': 9}, {'year': 2016, 'cited_by_count': 3}, {'year': 2015, 'cited_by_count': 9}, {'year': 2014, 'cited_by_count': 4}, {'year': 2013, 'cited_by_count': 1}, {'year': 2012, 'cited_by_count': 6}], 'updated_date': '2024-12-10T03:57:23.981263', 'created_date': '2016-06-24'}