Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W3099261397', 'doi': 'https://doi.org/10.1142/s0218216515500649', 'title': 'Legendrian torus knots in S<sup>1</sup> × S<sup>2</sup>', 'display_name': 'Legendrian torus knots in S<sup>1</sup> × S<sup>2</sup>', 'publication_year': 2015, 'publication_date': '2015-10-01', 'ids': {'openalex': 'https://openalex.org/W3099261397', 'doi': 'https://doi.org/10.1142/s0218216515500649', 'mag': '3099261397'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1142/s0218216515500649', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S55337115', 'display_name': 'Journal of Knot Theory and Its Ramifications', 'issn_l': '0218-2165', 'issn': ['0218-2165', '1793-6527'], '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': 'https://arxiv.org/pdf/1310.1535.pdf', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5100404365', 'display_name': 'Feifei Chen', 'orcid': 'https://orcid.org/0000-0001-6733-1259'}, 'institutions': [{'id': 'https://openalex.org/I20231570', 'display_name': 'Peking University', 'ror': 'https://ror.org/02v51f717', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I20231570']}], 'countries': ['CN'], 'is_corresponding': False, 'raw_author_name': 'Feifei Chen', 'raw_affiliation_strings': ['School of Mathematical Sciences, Peking University, Beijing 100871, P. R. China'], 'affiliations': [{'raw_affiliation_string': 'School of Mathematical Sciences, Peking University, Beijing 100871, P. R. China', 'institution_ids': ['https://openalex.org/I20231570']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5101579281', 'display_name': 'Fan Ding', 'orcid': 'https://orcid.org/0000-0002-5227-2847'}, 'institutions': [{'id': 'https://openalex.org/I20231570', 'display_name': 'Peking University', 'ror': 'https://ror.org/02v51f717', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I20231570']}], 'countries': ['CN'], 'is_corresponding': False, 'raw_author_name': 'Fan Ding', 'raw_affiliation_strings': ['School of Mathematical Sciences and LMAM, Peking University, Beijing 100871, P. R. China'], 'affiliations': [{'raw_affiliation_string': 'School of Mathematical Sciences and LMAM, Peking University, Beijing 100871, P. R. China', 'institution_ids': ['https://openalex.org/I20231570']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5103008862', 'display_name': 'Youlin Li', 'orcid': 'https://orcid.org/0000-0003-2165-9368'}, 'institutions': [{'id': 'https://openalex.org/I183067930', 'display_name': 'Shanghai Jiao Tong University', 'ror': 'https://ror.org/0220qvk04', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I183067930']}], 'countries': ['CN'], 'is_corresponding': False, 'raw_author_name': 'Youlin Li', 'raw_affiliation_strings': ['Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, P. R. China'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, P. R. China', 'institution_ids': ['https://openalex.org/I183067930']}]}], 'countries_distinct_count': 1, 'institutions_distinct_count': 2, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 0.707, 'has_fulltext': False, 'cited_by_count': 6, 'citation_normalized_percentile': {'value': 0.56796, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 83, 'max': 84}, 'biblio': {'volume': '24', 'issue': '12', 'first_page': '1550064', 'last_page': '1550064'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10304', 'display_name': 'Symplectic Topology and Knot Invariants', '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/T10304', 'display_name': 'Symplectic Topology and Knot Invariants', '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/T10229', 'display_name': 'Optimal Transport in Geometry and Analysis', 'score': 0.9845, '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'}}, {'id': 'https://openalex.org/T10896', 'display_name': 'Deformation Quantization of Poisson Manifolds', 'score': 0.982, '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/knot-invariants', 'display_name': 'Knot Invariants', 'score': 0.458143}], 'concepts': [{'id': 'https://openalex.org/C2778876713', 'wikidata': 'https://www.wikidata.org/wiki/Q1361125', 'display_name': 'Isotopy', 'level': 2, 'score': 0.96287227}, {'id': 'https://openalex.org/C9767117', 'wikidata': 'https://www.wikidata.org/wiki/Q12510', 'display_name': 'Torus', 'level': 2, 'score': 0.8732033}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.8242215}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.61792314}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.381596}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.25910863}], 'mesh': [], 'locations_count': 2, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1142/s0218216515500649', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S55337115', 'display_name': 'Journal of Knot Theory and Its Ramifications', 'issn_l': '0218-2165', 'issn': ['0218-2165', '1793-6527'], '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': None, 'pdf_url': 'https://arxiv.org/pdf/1310.1535.pdf', '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': None, 'pdf_url': 'https://arxiv.org/pdf/1310.1535.pdf', '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': 17, 'referenced_works': ['https://openalex.org/W1517882720', 'https://openalex.org/W1611114428', 'https://openalex.org/W1666971004', 'https://openalex.org/W1980551291', 'https://openalex.org/W1983089002', 'https://openalex.org/W1994449808', 'https://openalex.org/W2009641488', 'https://openalex.org/W2031127299', 'https://openalex.org/W2111287882', 'https://openalex.org/W2757697491', 'https://openalex.org/W2962687383', 'https://openalex.org/W2962984312', 'https://openalex.org/W3100410193', 'https://openalex.org/W3123507984', 'https://openalex.org/W38724087', 'https://openalex.org/W4229743903', 'https://openalex.org/W938785933'], 'related_works': ['https://openalex.org/W4382132569', 'https://openalex.org/W4293585406', 'https://openalex.org/W4288094350', 'https://openalex.org/W3206401290', 'https://openalex.org/W3183857812', 'https://openalex.org/W2979827918', 'https://openalex.org/W2788195450', 'https://openalex.org/W2737877394', 'https://openalex.org/W2117671512', 'https://openalex.org/W119202578'], 'abstract_inverted_index': {'We': [0], 'classify': [1], 'Legendrian': [2, 19], 'torus': [3], 'knots': [4], 'in': [5], 'S': [6, 9], '1': [7], '×': [8], '2': [10], 'with': [11], 'its': [12], 'standard': [13], 'tight': [14], 'contact': [15], 'structure': [16], 'up': [17], 'to': [18], 'isotopy.': [20]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W3099261397', 'counts_by_year': [{'year': 2024, 'cited_by_count': 2}, {'year': 2021, 'cited_by_count': 1}, {'year': 2018, 'cited_by_count': 2}, {'year': 2015, 'cited_by_count': 1}], 'updated_date': '2024-09-07T04:52:42.358337', 'created_date': '2020-11-23'}