ORBIFOLD CUP PRODUCTS AND RING STRUCTURES ON HOCHSCHILD COHOMOLOGIES

Name: Work Video:
Duration: 3 min 30 s
Markus J. Pflaum; Hessel Posthuma; Xiang Tang; Hsian-Hua Tseng
{'id': 'https://openalex.org/W2963635964', 'doi': 'https://doi.org/10.1142/s0219199711004142', 'title': 'ORBIFOLD CUP PRODUCTS AND RING STRUCTURES ON HOCHSCHILD COHOMOLOGIES', 'display_name': 'ORBIFOLD CUP PRODUCTS AND RING STRUCTURES ON HOCHSCHILD COHOMOLOGIES', 'publication_year': 2011, 'publication_date': '2011-02-01', 'ids': {'openalex': 'https://openalex.org/W2963635964', 'doi': 'https://doi.org/10.1142/s0219199711004142', 'mag': '2963635964'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1142/s0219199711004142', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S51811661', 'display_name': 'Communications in Contemporary Mathematics', 'issn_l': '0219-1997', 'issn': ['0219-1997', '1793-6683'], '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': 'http://arxiv.org/pdf/0706.0027', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5022496220', 'display_name': 'Markus J. Pflaum', 'orcid': 'https://orcid.org/0000-0002-9446-8039'}, 'institutions': [{'id': 'https://openalex.org/I188538660', 'display_name': 'University of Colorado Boulder', 'ror': 'https://ror.org/02ttsq026', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I188538660']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'M. J. PFLAUM', 'raw_affiliation_strings': ['Department of Mathematics, University of Colorado, Boulder, CO, USA'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, University of Colorado, Boulder, CO, USA', 'institution_ids': ['https://openalex.org/I188538660']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5089958364', 'display_name': 'Hessel Posthuma', 'orcid': 'https://orcid.org/0000-0001-5164-7355'}, 'institutions': [{'id': 'https://openalex.org/I865915315', 'display_name': 'Vrije Universiteit Amsterdam', 'ror': 'https://ror.org/008xxew50', 'country_code': 'NL', 'type': 'education', 'lineage': ['https://openalex.org/I865915315']}, {'id': 'https://openalex.org/I887064364', 'display_name': 'University of Amsterdam', 'ror': 'https://ror.org/04dkp9463', 'country_code': 'NL', 'type': 'education', 'lineage': ['https://openalex.org/I887064364']}], 'countries': ['NL'], 'is_corresponding': False, 'raw_author_name': 'H. B. POSTHUMA', 'raw_affiliation_strings': ['Korteweg–de Vries Institute for Mathematics, University of Amsterdam, P. O. Box 94248, 1090 GE, Amsterdam, The Netherlands'], 'affiliations': [{'raw_affiliation_string': 'Korteweg–de Vries Institute for Mathematics, University of Amsterdam, P. O. Box 94248, 1090 GE, Amsterdam, The Netherlands', 'institution_ids': ['https://openalex.org/I865915315', 'https://openalex.org/I887064364']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5028578509', 'display_name': 'Xiang Tang', 'orcid': 'https://orcid.org/0000-0001-7702-2601'}, 'institutions': [{'id': 'https://openalex.org/I204465549', 'display_name': 'Washington University in St. Louis', 'ror': 'https://ror.org/01yc7t268', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I204465549']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'X. TANG', 'raw_affiliation_strings': ['Department of Mathematics, Washington University, St. Louis, MO, USA'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, Washington University, St. Louis, MO, USA', 'institution_ids': ['https://openalex.org/I204465549']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5029111099', 'display_name': 'Hsian-Hua Tseng', 'orcid': 'https://orcid.org/0000-0002-3856-9660'}, 'institutions': [{'id': 'https://openalex.org/I52357470', 'display_name': 'The Ohio State University', 'ror': 'https://ror.org/00rs6vg23', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I52357470']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'H.-H. TSENG', 'raw_affiliation_strings': ['Department of Mathematics, Ohio State University, Columbus, OH, USA'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, Ohio State University, Columbus, OH, USA', 'institution_ids': ['https://openalex.org/I52357470']}]}], 'institution_assertions': [], 'countries_distinct_count': 2, 'institutions_distinct_count': 5, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 1.389, 'has_fulltext': False, 'cited_by_count': 23, 'citation_normalized_percentile': {'value': 0.86446, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 90, 'max': 91}, 'biblio': {'volume': '13', 'issue': '01', 'first_page': '123', 'last_page': '182'}, '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/T11680', 'display_name': 'Advanced Algebra and Geometry', 'score': 0.9997, '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'}}], 'keywords': [{'id': 'https://openalex.org/keywords/orbifold', 'display_name': 'Orbifold', 'score': 0.95373595}, {'id': 'https://openalex.org/keywords/cohomology-ring', 'display_name': 'Cohomology ring', 'score': 0.6284566}, {'id': 'https://openalex.org/keywords/equivariant-map', 'display_name': 'Equivariant map', 'score': 0.579992}, {'id': 'https://openalex.org/keywords/cup-product', 'display_name': 'Cup product', 'score': 0.56393665}], 'concepts': [{'id': 'https://openalex.org/C143782950', 'wikidata': 'https://www.wikidata.org/wiki/Q40460', 'display_name': 'Orbifold', 'level': 2, 'score': 0.95373595}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.83493197}, {'id': 'https://openalex.org/C2779185822', 'wikidata': 'https://www.wikidata.org/wiki/Q5141399', 'display_name': 'Cohomology ring', 'level': 4, 'score': 0.6284566}, {'id': 'https://openalex.org/C72738302', 'wikidata': 'https://www.wikidata.org/wiki/Q5384738', 'display_name': 'Equivariant cohomology', 'level': 3, 'score': 0.61276484}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.60189456}, {'id': 'https://openalex.org/C78606066', 'wikidata': 'https://www.wikidata.org/wiki/Q1198376', 'display_name': 'Cohomology', 'level': 2, 'score': 0.5933076}, {'id': 'https://openalex.org/C171036898', 'wikidata': 'https://www.wikidata.org/wiki/Q256355', 'display_name': 'Equivariant map', 'level': 2, 'score': 0.579992}, {'id': 'https://openalex.org/C126867241', 'wikidata': 'https://www.wikidata.org/wiki/Q3388699', 'display_name': 'Cup product', 'level': 5, 'score': 0.56393665}, {'id': 'https://openalex.org/C2780378348', 'wikidata': 'https://www.wikidata.org/wiki/Q25351438', 'display_name': 'Ring (chemistry)', 'level': 2, 'score': 0.46760052}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.3857669}, {'id': 'https://openalex.org/C68365058', 'wikidata': 'https://www.wikidata.org/wiki/Q1179446', 'display_name': 'De Rham cohomology', 'level': 4, 'score': 0.3431719}, {'id': 'https://openalex.org/C185592680', 'wikidata': 'https://www.wikidata.org/wiki/Q2329', 'display_name': 'Chemistry', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C178790620', 'wikidata': 'https://www.wikidata.org/wiki/Q11351', 'display_name': 'Organic chemistry', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 3, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1142/s0219199711004142', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S51811661', 'display_name': 'Communications in Contemporary Mathematics', 'issn_l': '0219-1997', 'issn': ['0219-1997', '1793-6683'], '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': 'http://arxiv.org/abs/0706.0027', 'pdf_url': 'http://arxiv.org/pdf/0706.0027', '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': True, 'landing_page_url': 'https://arxiv.org/abs/0706.0027', 'pdf_url': 'https://arxiv.org/pdf/0706.0027', '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': 'http://arxiv.org/abs/0706.0027', 'pdf_url': 'http://arxiv.org/pdf/0706.0027', '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': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 37, 'referenced_works': ['https://openalex.org/W1491835430', 'https://openalex.org/W1547281537', 'https://openalex.org/W1555477541', 'https://openalex.org/W1556790028', 'https://openalex.org/W162488653', 'https://openalex.org/W1665255827', 'https://openalex.org/W1679081653', 'https://openalex.org/W1796745404', 'https://openalex.org/W193286599', 'https://openalex.org/W1964558936', 'https://openalex.org/W1964644846', 'https://openalex.org/W1973600884', 'https://openalex.org/W1979729617', 'https://openalex.org/W1994372755', 'https://openalex.org/W2003147551', 'https://openalex.org/W2004557338', 'https://openalex.org/W2015780535', 'https://openalex.org/W2051552551', 'https://openalex.org/W2054934397', 'https://openalex.org/W2057236959', 'https://openalex.org/W2062663655', 'https://openalex.org/W2069433430', 'https://openalex.org/W2082577586', 'https://openalex.org/W2082890635', 'https://openalex.org/W2150728336', 'https://openalex.org/W2157665758', 'https://openalex.org/W2167832905', 'https://openalex.org/W2497289964', 'https://openalex.org/W2740943156', 'https://openalex.org/W2964131959', 'https://openalex.org/W2964213799', 'https://openalex.org/W3098190328', 'https://openalex.org/W3105378457', 'https://openalex.org/W3107709063', 'https://openalex.org/W4213131537', 'https://openalex.org/W4249899048', 'https://openalex.org/W573059742'], 'related_works': ['https://openalex.org/W814173026', 'https://openalex.org/W4287692999', 'https://openalex.org/W4238681948', 'https://openalex.org/W3089361935', 'https://openalex.org/W3047444260', 'https://openalex.org/W2963635964', 'https://openalex.org/W2739439858', 'https://openalex.org/W2029131257', 'https://openalex.org/W2027577494', 'https://openalex.org/W1493374814'], 'abstract_inverted_index': {'In': [0, 21, 76], 'this': [1, 64, 85], 'paper,': [2], 'we': [3, 78], 'study': [4, 60], 'the': [5, 22, 25, 40, 46, 53, 56, 61, 73], 'Hochschild': [6], 'cohomology': [7, 54], 'ring': [8, 26, 47], 'of': [9, 32, 55, 72], 'convolution': [10], 'algebras': [11], 'associated': [12], 'to': [13], 'orbifolds,': [14], 'as': [15, 17], 'well': [16], 'their': [18], 'deformation': [19, 44], 'quantizations.': [20], 'first': [23], 'case,': [24], 'structure': [27, 48], 'is': [28], 'given': [29], 'in': [30], 'terms': [31], 'a': [33, 50, 80], 'wedge': [34], 'product': [35, 51, 65], 'on': [36, 39, 52], 'twisted': [37], 'polyvectorfields': [38], 'inertia': [41, 57], 'orbifold.': [42, 58], 'After': [43], 'quantization,': [45], 'defines': [49], 'We': [59], 'relation': [62], 'between': [63], 'and': [66], 'an': [67], 'S': [68], '1': [69], '-equivariant': [70], 'version': [71], 'Chen–Ruan': [74], 'product.': [75], 'particular,': [77], 'give': [79], 'de': [81], 'Rham': [82], 'model': [83], 'for': [84], 'equivariant': [86], 'orbifold': [87], 'cohomology.': [88]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2963635964', 'counts_by_year': [{'year': 2023, 'cited_by_count': 1}, {'year': 2020, 'cited_by_count': 2}, {'year': 2018, 'cited_by_count': 1}, {'year': 2017, 'cited_by_count': 2}, {'year': 2016, 'cited_by_count': 1}, {'year': 2015, 'cited_by_count': 3}, {'year': 2014, 'cited_by_count': 1}, {'year': 2013, 'cited_by_count': 2}, {'year': 2012, 'cited_by_count': 1}], 'updated_date': '2024-12-12T17:08:39.252980', 'created_date': '2019-07-30'}
Publication Information

Basic Information

Access and Citation

AI Researcher Chatbot

Primary Location

Authors

Topics

Keywords

Related Works
