Publication Information

{'id': 'https://openalex.org/W2125498553', 'doi': 'https://doi.org/10.2307/1970273', 'title': 'On the Transitivity of Holonomy Systems', 'display_name': 'On the Transitivity of Holonomy Systems', 'publication_year': 1962, 'publication_date': '1962-09-01', 'ids': {'openalex': 'https://openalex.org/W2125498553', 'doi': 'https://doi.org/10.2307/1970273', 'mag': '2125498553'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.2307/1970273', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S45918994', 'display_name': 'Annals of Mathematics', 'issn_l': '0003-486X', 'issn': ['0003-486X', '1939-8980'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310316273', 'host_organization_name': 'Princeton University', 'host_organization_lineage': ['https://openalex.org/P4310316273'], 'host_organization_lineage_names': ['Princeton University'], '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': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5064601151', 'display_name': 'James Simons', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': True, 'raw_author_name': 'James Simons', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': ['https://openalex.org/A5064601151'], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 1.615, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 196, 'citation_normalized_percentile': {'value': 0.974308, 'is_in_top_1_percent': False, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 98, 'max': 99}, 'biblio': {'volume': '76', 'issue': '2', 'first_page': '213', 'last_page': '213'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10304', 'display_name': 'Geometric and Algebraic Topology', 'score': 0.997, '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/T10304', 'display_name': 'Geometric and Algebraic Topology', 'score': 0.997, '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': 0.9953, '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/T10229', 'display_name': 'Geometric Analysis and Curvature Flows', 'score': 0.9931, 'subfield': {'id': 'https://openalex.org/subfields/2604', 'display_name': 'Applied Mathematics'}, '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/holonomy', 'display_name': 'Holonomy', 'score': 0.94659877}], 'concepts': [{'id': 'https://openalex.org/C32518243', 'wikidata': 'https://www.wikidata.org/wiki/Q907926', 'display_name': 'Holonomy', 'level': 2, 'score': 0.94659877}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.9004311}, {'id': 'https://openalex.org/C191399111', 'wikidata': 'https://www.wikidata.org/wiki/Q64861', 'display_name': 'Transitive relation', 'level': 2, 'score': 0.7990999}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.56386936}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.35145563}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.30524635}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.2307/1970273', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S45918994', 'display_name': 'Annals of Mathematics', 'issn_l': '0003-486X', 'issn': ['0003-486X', '1939-8980'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310316273', 'host_organization_name': 'Princeton University', 'host_organization_lineage': ['https://openalex.org/P4310316273'], 'host_organization_lineage_names': ['Princeton University'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [{'score': 0.52, 'display_name': 'Reduced inequalities', 'id': 'https://metadata.un.org/sdg/10'}], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 4, 'referenced_works': ['https://openalex.org/W1972098605', 'https://openalex.org/W1994162076', 'https://openalex.org/W218489606', 'https://openalex.org/W2261622188'], 'related_works': ['https://openalex.org/W4288288471', 'https://openalex.org/W4286979386', 'https://openalex.org/W3080238075', 'https://openalex.org/W2953585139', 'https://openalex.org/W2755834475', 'https://openalex.org/W2534182262', 'https://openalex.org/W2524313078', 'https://openalex.org/W23268088', 'https://openalex.org/W2159148273', 'https://openalex.org/W1158305060'], 'abstract_inverted_index': {'Abstract': [0], ':': [1], 'A': [2], 'classification': [3], 'of': [4, 11, 31, 46, 57, 66, 69, 80, 90], 'possible': [5], 'candidates': [6], 'for': [7], 'the': [8, 24, 28, 32, 36, 39, 67, 81, 91], 'holonomy': [9, 71], 'groups': [10, 21], 'manifolds': [12], 'having': [13], 'affine': [14], 'connections': [15], 'with': [16, 75], 'zero': [17], 'torsion': [18], 'discloses': [19], 'only': [20, 87], 'transitive': [22], 'on': [23, 83], 'unit': [25], 'sphere': [26], 'in': [27, 35], 'tangent': [29], 'space': [30, 45], 'manifold,': [33], 'except': [34], 'case': [37], 'where': [38], 'manifold': [40], 'is': [41], 'a': [42, 70, 76], 'symm': [43], 'ric': [44], 'rank': [47], 'greater': [48], 'than': [49], 'or': [50], 'equal': [51], 'to': [52, 95], '2.': [53], 'An': [54], 'intrinsic': [55, 78], 'proof': [56, 79], 'this': [58], 'rather': [59], 'startling': [60], 'fact,': [61], 'and': [62], 'an': [63], 'algebraic': [64], 'generalization': [65], 'notion': [68], 'group': [72], 'are': [73], 'given': [74], 'short,': [77], 'result': [82], 'transitivity.': [84], 'Al': [85], 'hough': [86], 'that': [88], 'portion': [89], 'problem': [92], 'which': [93], 'has': [94], 'do': [96], 'wit': [97], 'R': [98], 'IEMANNIAN': [99], 'MANIFOLDS': [100], 'IS': [101, 104], 'TREATED,': [102], 'IT': [103], 'POSSIBLE': [105], 'H': [106], 'T': [107], 'THE': [108], 'DEVICES': [109], 'EMPLOYED': [110], 'COULD': [111], 'BE': [112], 'ALTERED': [113], 'TO': [114, 116], 'PERTAIN': [115], 'OTHER': [117], 'SITUATIONS.': [118], '(Author)': [119]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2125498553', 'counts_by_year': [{'year': 2024, 'cited_by_count': 1}, {'year': 2023, 'cited_by_count': 3}, {'year': 2022, 'cited_by_count': 1}, {'year': 2021, 'cited_by_count': 1}, {'year': 2020, 'cited_by_count': 6}, {'year': 2019, 'cited_by_count': 8}, {'year': 2018, 'cited_by_count': 6}, {'year': 2017, 'cited_by_count': 6}, {'year': 2016, 'cited_by_count': 6}, {'year': 2015, 'cited_by_count': 10}, {'year': 2014, 'cited_by_count': 6}, {'year': 2013, 'cited_by_count': 6}, {'year': 2012, 'cited_by_count': 15}], 'updated_date': '2024-12-17T12:12:30.973167', 'created_date': '2016-06-24'}