Publication Information

{'id': 'https://openalex.org/W1767706495', 'doi': None, 'title': 'Deformation quantization of integrable systems', 'display_name': 'Deformation quantization of integrable systems', 'publication_year': 2012, 'publication_date': '2012-10-10', 'ids': {'openalex': 'https://openalex.org/W1767706495', 'mag': '1767706495'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://arxiv.org/pdf/1210.2840', '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': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'type': 'preprint', 'type_crossref': 'posted-content', 'indexed_in': [], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5109479067', 'display_name': 'Georgy Sharygin', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Georgy Sharygin', 'raw_affiliation_strings': [], 'affiliations': []}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5086833820', 'display_name': 'Д. В. Талалаев', 'orcid': 'https://orcid.org/0000-0001-7269-0045'}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Dmitry Talalaev', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': None, 'has_fulltext': False, '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': 64}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, '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': 0.9997, '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/poisson-algebra', 'display_name': 'Poisson algebra', 'score': 0.45936292}], 'concepts': [{'id': 'https://openalex.org/C78606066', 'wikidata': 'https://www.wikidata.org/wiki/Q1198376', 'display_name': 'Cohomology', 'level': 2, 'score': 0.85027266}, {'id': 'https://openalex.org/C67996461', 'wikidata': 'https://www.wikidata.org/wiki/Q629933', 'display_name': 'Subalgebra', 'level': 3, 'score': 0.8375466}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.76729345}, {'id': 'https://openalex.org/C183778304', 'wikidata': 'https://www.wikidata.org/wiki/Q165474', 'display_name': 'Commutative property', 'level': 2, 'score': 0.68135214}, {'id': 'https://openalex.org/C28855332', 'wikidata': 'https://www.wikidata.org/wiki/Q198099', 'display_name': 'Quantization (signal processing)', 'level': 2, 'score': 0.61593467}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.5939228}, {'id': 'https://openalex.org/C90119067', 'wikidata': 'https://www.wikidata.org/wiki/Q43260', 'display_name': 'Polynomial', 'level': 2, 'score': 0.5525114}, {'id': 'https://openalex.org/C100906024', 'wikidata': 'https://www.wikidata.org/wiki/Q205692', 'display_name': 'Poisson distribution', 'level': 2, 'score': 0.53045195}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.5229167}, {'id': 'https://openalex.org/C200741047', 'wikidata': 'https://www.wikidata.org/wiki/Q1957758', 'display_name': 'Integrable system', 'level': 2, 'score': 0.4609727}, {'id': 'https://openalex.org/C4161247', 'wikidata': 'https://www.wikidata.org/wiki/Q11143305', 'display_name': 'Poisson algebra', 'level': 4, 'score': 0.45936292}, {'id': 'https://openalex.org/C188845816', 'wikidata': 'https://www.wikidata.org/wiki/Q1052775', 'display_name': 'Poisson bracket', 'level': 3, 'score': 0.2537337}, {'id': 'https://openalex.org/C51568863', 'wikidata': 'https://www.wikidata.org/wiki/Q664495', 'display_name': 'Lie algebra', 'level': 2, 'score': 0.22954637}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.14185533}, {'id': 'https://openalex.org/C105795698', 'wikidata': 'https://www.wikidata.org/wiki/Q12483', 'display_name': 'Statistics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C11413529', 'wikidata': 'https://www.wikidata.org/wiki/Q8366', 'display_name': 'Algorithm', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://arxiv.org/pdf/1210.2840', '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': 'submittedVersion', 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 7, 'referenced_works': ['https://openalex.org/W123439666', 'https://openalex.org/W1599145046', 'https://openalex.org/W1601793248', 'https://openalex.org/W2008379975', 'https://openalex.org/W2022048746', 'https://openalex.org/W2071417479', 'https://openalex.org/W3105051198'], 'related_works': ['https://openalex.org/W3197194388', 'https://openalex.org/W3183900976', 'https://openalex.org/W3024124502', 'https://openalex.org/W2969229523', 'https://openalex.org/W2963917839', 'https://openalex.org/W2963511355', 'https://openalex.org/W2952421605', 'https://openalex.org/W2950419155', 'https://openalex.org/W2950085438', 'https://openalex.org/W2901714627', 'https://openalex.org/W2519953626', 'https://openalex.org/W2155816241', 'https://openalex.org/W2154458423', 'https://openalex.org/W2051035655', 'https://openalex.org/W2009270164', 'https://openalex.org/W1973779592', 'https://openalex.org/W1804009792', 'https://openalex.org/W1561184010', 'https://openalex.org/W1548806341', 'https://openalex.org/W1500507932'], 'abstract_inverted_index': {'In': [0, 54], 'this': [1], 'paper': [2], 'we': [3, 62], 'address': [4], 'the': [5, 45, 59, 67, 70, 75, 82, 85, 94], 'following': [6], 'question:': [7], 'is': [8, 88], 'it': [9, 29], 'always': [10], 'possible': [11], 'to': [12, 39, 66], 'choose': [13], 'a': [14, 18, 34], 'deformation': [15], 'quantization': [16], 'of': [17, 36, 48, 58, 69, 74], 'Poisson': [19, 71], 'algebra': [20, 86], 'A': [21], 'so': [22], 'that': [23, 41, 80], 'certain': [24], 'Poisson-commutative': [25], 'subalgebra': [26], 'C': [27, 49, 87], 'in': [28, 44, 52, 81], 'remains': [30], 'commutative?': [31], 'We': [32, 78], 'define': [33], 'series': [35], 'cohomological': [37], 'obstructions': [38, 91], 'this,': [40], 'take': [42], 'values': [43], 'Hochschild': [46, 76], 'cohomology': [47, 73], 'with': [50, 93], 'coefficients': [51], 'A.': [53], 'some': [55], 'particular': [56], 'case': [57], 'pair': [60], '(A,C)': [61], 'reduce': [63], 'these': [64, 90], 'classes': [65, 68], 'relative': [72], 'cohomology.': [77], 'show,': [79], 'case,': [83], 'when': [84], 'polynomial,': [89], 'coincide': [92], 'previously': [95], 'known': [96], 'ones,': [97], 'those': [98], 'which': [99], 'were': [100], 'defined': [101], 'by': [102], 'Garay': [103], 'and': [104], 'van': [105], 'Straten.': [106]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W1767706495', 'counts_by_year': [], 'updated_date': '2024-12-28T12:21:43.988139', 'created_date': '2016-06-24'}