Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W1964024648', 'doi': 'https://doi.org/10.1007/bf01245079', 'title': 'Homotopy invariance of foliation Betti numbers', 'display_name': 'Homotopy invariance of foliation Betti numbers', 'publication_year': 1991, 'publication_date': '1991-12-01', 'ids': {'openalex': 'https://openalex.org/W1964024648', 'doi': 'https://doi.org/10.1007/bf01245079', 'mag': '1964024648'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/bf01245079', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S98347115', 'display_name': 'Inventiones mathematicae', 'issn_l': '0020-9910', 'issn': ['0020-9910', '1432-1297'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319900', 'host_organization_name': 'Springer Science+Business Media', 'host_organization_lineage': ['https://openalex.org/P4310319965', 'https://openalex.org/P4310319900'], 'host_organization_lineage_names': ['Springer Nature', 'Springer Science+Business Media'], '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/A5035517731', 'display_name': 'James L. Heitsch', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I39422238', 'display_name': 'University of Illinois at Chicago', 'ror': 'https://ror.org/02mpq6x41', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I39422238']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'James L. Heitsch', 'raw_affiliation_strings': ['University of Illinois at Chicago'], 'affiliations': [{'raw_affiliation_string': 'University of Illinois at Chicago', 'institution_ids': ['https://openalex.org/I39422238']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5000877955', 'display_name': 'Connor Lazarov', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I2800359653', 'display_name': 'CUNY School of Law', 'ror': 'https://ror.org/00jtran50', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I2800359653']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Connor Lazarov', 'raw_affiliation_strings': [' CUNY'], 'affiliations': [{'raw_affiliation_string': ' CUNY', 'institution_ids': ['https://openalex.org/I2800359653']}]}], 'countries_distinct_count': 1, 'institutions_distinct_count': 2, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': {'value': 2390, 'currency': 'EUR', 'value_usd': 2990, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 0.664, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 18, 'citation_normalized_percentile': {'value': 0.750318, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 84, 'max': 85}, 'biblio': {'volume': '104', 'issue': '1', 'first_page': '321', 'last_page': '347'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10899', 'display_name': 'Classification and Properties of C*-Algebras', 'score': 0.9995, '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/T10899', 'display_name': 'Classification and Properties of C*-Algebras', 'score': 0.9995, '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': 'Deformations and Structures of Hom-Lie Algebras', 'score': 0.9989, '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/T10896', 'display_name': 'Deformation Quantization of Poisson Manifolds', 'score': 0.9989, '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/foliation', 'display_name': 'Foliation (geology)', 'score': 0.6637517}, {'id': 'https://openalex.org/keywords/homotopy-theory', 'display_name': 'Homotopy Theory', 'score': 0.580758}, {'id': 'https://openalex.org/keywords/cohomology', 'display_name': 'Cohomology', 'score': 0.507343}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.94179726}, {'id': 'https://openalex.org/C129621563', 'wikidata': 'https://www.wikidata.org/wiki/Q429593', 'display_name': 'Betti number', 'level': 2, 'score': 0.8828039}, {'id': 'https://openalex.org/C5961521', 'wikidata': 'https://www.wikidata.org/wiki/Q746083', 'display_name': 'Homotopy', 'level': 2, 'score': 0.7819343}, {'id': 'https://openalex.org/C168425004', 'wikidata': 'https://www.wikidata.org/wiki/Q525802', 'display_name': 'Foliation (geology)', 'level': 3, 'score': 0.6637517}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.512577}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.35117394}, {'id': 'https://openalex.org/C17409809', 'wikidata': 'https://www.wikidata.org/wiki/Q161764', 'display_name': 'Geochemistry', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C26687426', 'wikidata': 'https://www.wikidata.org/wiki/Q47069', 'display_name': 'Metamorphic rock', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C127313418', 'wikidata': 'https://www.wikidata.org/wiki/Q1069', 'display_name': 'Geology', 'level': 0, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/bf01245079', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S98347115', 'display_name': 'Inventiones mathematicae', 'issn_l': '0020-9910', 'issn': ['0020-9910', '1432-1297'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319900', 'host_organization_name': 'Springer Science+Business Media', 'host_organization_lineage': ['https://openalex.org/P4310319965', 'https://openalex.org/P4310319900'], 'host_organization_lineage_names': ['Springer Nature', 'Springer Science+Business Media'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [{'display_name': 'Zero hunger', 'id': 'https://metadata.un.org/sdg/2', 'score': 0.45}], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 15, 'referenced_works': ['https://openalex.org/W1500527815', 'https://openalex.org/W1522382323', 'https://openalex.org/W1522847636', 'https://openalex.org/W1842821338', 'https://openalex.org/W2022103104', 'https://openalex.org/W2037248095', 'https://openalex.org/W2072921602', 'https://openalex.org/W2088165997', 'https://openalex.org/W2317754742', 'https://openalex.org/W3107709063', 'https://openalex.org/W4214508989', 'https://openalex.org/W4230028719', 'https://openalex.org/W4247519508', 'https://openalex.org/W4882049', 'https://openalex.org/W633943769'], 'related_works': ['https://openalex.org/W4387139583', 'https://openalex.org/W4286888636', 'https://openalex.org/W4226419853', 'https://openalex.org/W314470348', 'https://openalex.org/W2971813531', 'https://openalex.org/W2963974879', 'https://openalex.org/W2588877683', 'https://openalex.org/W2095493290', 'https://openalex.org/W2035886694', 'https://openalex.org/W1537835297'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W1964024648', 'counts_by_year': [{'year': 2016, 'cited_by_count': 1}, {'year': 2013, 'cited_by_count': 3}], 'updated_date': '2024-09-12T19:53:07.563863', 'created_date': '2016-06-24'}