Publication Information

{'id': 'https://openalex.org/W2888143117', 'doi': 'https://doi.org/10.48550/arxiv.1808.08096', 'title': 'Invariant Hochschild cohomology of smooth functions', 'display_name': 'Invariant Hochschild cohomology of smooth functions', 'publication_year': 2018, 'publication_date': '2018-01-01', 'ids': {'openalex': 'https://openalex.org/W2888143117', 'doi': 'https://doi.org/10.48550/arxiv.1808.08096', 'mag': '2888143117'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1808.08096', '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': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'type': 'preprint', 'type_crossref': 'posted-content', 'indexed_in': ['datacite'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': 'https://arxiv.org/abs/1808.08096', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5031069648', 'display_name': 'Lukas Miaskiwskyi', 'orcid': 'https://orcid.org/0000-0002-0413-0916'}, 'institutions': [], 'countries': [], 'is_corresponding': True, 'raw_author_name': 'Lukas Miaskiwskyi', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': ['https://openalex.org/A5031069648'], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': None, 'has_fulltext': False, 'cited_by_count': 4, 'citation_normalized_percentile': {'value': 0.948754, 'is_in_top_1_percent': False, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 77, 'max': 79}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10896', 'display_name': 'Homotopy and Cohomology in Algebraic Topology', 'score': 0.9999, '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': 0.9999, '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': 0.9998, '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'}}, {'id': 'https://openalex.org/T10287', 'display_name': 'Algebraic structures and combinatorial models', 'score': 0.9998, '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/group-action', 'display_name': 'Group action', 'score': 0.52121866}, {'id': 'https://openalex.org/keywords/cup-product', 'display_name': 'Cup product', 'score': 0.43821907}, {'id': 'https://openalex.org/keywords/corollary', 'display_name': 'Corollary', 'score': 0.43396437}], 'concepts': [{'id': 'https://openalex.org/C78606066', 'wikidata': 'https://www.wikidata.org/wiki/Q1198376', 'display_name': 'Cohomology', 'level': 2, 'score': 0.8543215}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.8171284}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.70662636}, {'id': 'https://openalex.org/C190470478', 'wikidata': 'https://www.wikidata.org/wiki/Q2370229', 'display_name': 'Invariant (physics)', 'level': 2, 'score': 0.68358594}, {'id': 'https://openalex.org/C72738302', 'wikidata': 'https://www.wikidata.org/wiki/Q5384738', 'display_name': 'Equivariant cohomology', 'level': 3, 'score': 0.60908234}, {'id': 'https://openalex.org/C155751095', 'wikidata': 'https://www.wikidata.org/wiki/Q1408937', 'display_name': 'Group cohomology', 'level': 3, 'score': 0.5804466}, {'id': 'https://openalex.org/C93067474', 'wikidata': 'https://www.wikidata.org/wiki/Q1493952', 'display_name': 'Sheaf cohomology', 'level': 4, 'score': 0.5583065}, {'id': 'https://openalex.org/C131715654', 'wikidata': 'https://www.wikidata.org/wiki/Q288465', 'display_name': 'Group action', 'level': 3, 'score': 0.52121866}, {'id': 'https://openalex.org/C68365058', 'wikidata': 'https://www.wikidata.org/wiki/Q1179446', 'display_name': 'De Rham cohomology', 'level': 4, 'score': 0.511057}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.43888596}, {'id': 'https://openalex.org/C126867241', 'wikidata': 'https://www.wikidata.org/wiki/Q3388699', 'display_name': 'Cup product', 'level': 5, 'score': 0.43821907}, {'id': 'https://openalex.org/C2780012671', 'wikidata': 'https://www.wikidata.org/wiki/Q1343870', 'display_name': 'Corollary', 'level': 2, 'score': 0.43396437}, {'id': 'https://openalex.org/C2781311116', 'wikidata': 'https://www.wikidata.org/wiki/Q83306', 'display_name': 'Group (periodic table)', 'level': 2, 'score': 0.37270945}, {'id': 'https://openalex.org/C37914503', 'wikidata': 'https://www.wikidata.org/wiki/Q156495', 'display_name': 'Mathematical physics', 'level': 1, 'score': 0.07335648}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.06872493}, {'id': 'https://openalex.org/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 2, 'locations': [{'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1808.08096', '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': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': False, 'landing_page_url': 'https://api.datacite.org/dois/10.48550/arxiv.1808.08096', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4393179698', 'display_name': 'DataCite API', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I4210145204', 'host_organization_name': 'DataCite', 'host_organization_lineage': ['https://openalex.org/I4210145204'], 'host_organization_lineage_names': ['DataCite'], 'type': 'metadata'}, 'license': None, 'license_id': None, 'version': None}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1808.08096', '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': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 17, 'referenced_works': ['https://openalex.org/W105605201', 'https://openalex.org/W148354719', 'https://openalex.org/W1971509177', 'https://openalex.org/W1999886130', 'https://openalex.org/W2005965240', 'https://openalex.org/W2008379975', 'https://openalex.org/W2047413546', 'https://openalex.org/W2068167738', 'https://openalex.org/W2070991255', 'https://openalex.org/W2071417479', 'https://openalex.org/W2072011469', 'https://openalex.org/W2125623751', 'https://openalex.org/W2320881711', 'https://openalex.org/W2500622077', 'https://openalex.org/W2770156412', 'https://openalex.org/W2963858637', 'https://openalex.org/W2964213799'], 'related_works': ['https://openalex.org/W4387560194', 'https://openalex.org/W4384525622', 'https://openalex.org/W4320086970', 'https://openalex.org/W4300751040', 'https://openalex.org/W4252127922', 'https://openalex.org/W3032867275', 'https://openalex.org/W2897863067', 'https://openalex.org/W2895793173', 'https://openalex.org/W2161066901', 'https://openalex.org/W1618739904'], 'abstract_inverted_index': {'Given': [0], 'an': [1, 58, 91], 'action': [2, 15], 'of': [3, 20, 25, 36, 40, 46, 54, 60, 64, 94, 103, 123], 'a': [4, 8, 51, 85, 88], 'Lie': [5], 'group': [6, 78], 'on': [7, 16, 27, 31], 'smooth': [9, 21], 'manifold,': [10], 'we': [11, 113], 'discuss': [12, 115], 'the': [13, 17, 61, 65, 95, 101, 116, 121], 'induced': [14], 'Hochschild': [18, 118], 'cohomology': [19, 41, 67, 102, 119], 'functions,': [22], 'and': [23, 69, 87], 'notions': [24], 'invariance': [26, 35, 39], 'this': [28, 111], 'space.': [29], 'Depending': [30], 'whether': [32], 'one': [33], 'considers': [34], 'cochains': [37, 105], 'or': [38], 'classes,': [42], 'two': [43], 'different': [44], 'spaces': [45, 68, 81], 'invariants': [47], 'arise.': [48], 'We': [49], 'perform': [50], 'general': [52], 'comparison': [53], 'these': [55], 'notions,': [56], 'give': [57], 'interpretation': [59], 'lower': [62], 'orders': [63], 'invariant': [66, 92, 104, 107, 117], 'conclude': [70], 'as': [71], 'our': [72], 'main': [73], 'result': [74], 'that': [75], 'for': [76], 'proper': [77], 'actions': [79], 'both': [80], 'are': [82], 'isomorphic.': [83], 'As': [84], 'corollary': [86], 'geometric': [89], 'interpretation,': [90], 'version': [93], 'Hochschild-Kostant-Rosenberg': [96], 'theorem': [97], 'is': [98], 'given,': [99], 'identifying': [100], 'with': [106], 'multivector': [108], 'fields.': [109], 'Using': [110], 'theorem,': [112], 'shortly': [114], 'in': [120], 'case': [122], 'homogeneous': [124], 'spaces.': [125]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2888143117', 'counts_by_year': [{'year': 2023, 'cited_by_count': 1}, {'year': 2022, 'cited_by_count': 1}, {'year': 2021, 'cited_by_count': 1}, {'year': 2018, 'cited_by_count': 1}], 'updated_date': '2024-12-12T19:28:22.413733', 'created_date': '2018-08-31'}