Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W3015750564', 'doi': 'https://doi.org/10.1016/j.aim.2020.107135', 'title': 'Toric symplectic stacks', 'display_name': 'Toric symplectic stacks', 'publication_year': 2020, 'publication_date': '2020-04-09', 'ids': {'openalex': 'https://openalex.org/W3015750564', 'doi': 'https://doi.org/10.1016/j.aim.2020.107135', 'mag': '3015750564'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1016/j.aim.2020.107135', 'pdf_url': 'https://www.sciencedirect.com/science/article/am/pii/S0001870820301614', 'source': {'id': 'https://openalex.org/S122441808', 'display_name': 'Advances in Mathematics', 'issn_l': '0001-8708', 'issn': ['0001-8708', '1090-2082'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320990', 'host_organization_name': 'Elsevier BV', 'host_organization_lineage': ['https://openalex.org/P4310320990'], 'host_organization_lineage_names': ['Elsevier BV'], 'type': 'journal'}, 'license': 'publisher-specific-oa', 'license_id': 'https://openalex.org/licenses/publisher-specific-oa', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': True, 'oa_status': 'bronze', 'oa_url': 'https://www.sciencedirect.com/science/article/am/pii/S0001870820301614', 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5047862295', 'display_name': 'Benjamin Hoffman', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': True, 'raw_author_name': 'Benjamin Hoffman', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': ['https://openalex.org/A5047862295'], 'corresponding_institution_ids': [], 'apc_list': {'value': 3480, 'currency': 'USD', 'value_usd': 3480, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 1.379, 'has_fulltext': False, 'cited_by_count': 8, 'citation_normalized_percentile': {'value': 0.878039, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 84, 'max': 85}, 'biblio': {'volume': '368', 'issue': None, 'first_page': '107135', 'last_page': '107135'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10948', 'display_name': 'Advanced Combinatorial Mathematics', 'score': 0.9997, 'subfield': {'id': 'https://openalex.org/subfields/2607', 'display_name': 'Discrete Mathematics and Combinatorics'}, '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/T10948', 'display_name': 'Advanced Combinatorial Mathematics', 'score': 0.9997, 'subfield': {'id': 'https://openalex.org/subfields/2607', 'display_name': 'Discrete Mathematics and Combinatorics'}, '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/T10304', 'display_name': 'Geometric and Algebraic Topology', 'score': 0.9993, '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/T10061', 'display_name': 'Algebraic Geometry and Number Theory', 'score': 0.9989, '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/orbifold', 'display_name': 'Orbifold', 'score': 0.7449038}, {'id': 'https://openalex.org/keywords/toric-variety', 'display_name': 'Toric variety', 'score': 0.6966206}], 'concepts': [{'id': 'https://openalex.org/C168619227', 'wikidata': 'https://www.wikidata.org/wiki/Q2190991', 'display_name': 'Symplectic geometry', 'level': 2, 'score': 0.9063484}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.80599487}, {'id': 'https://openalex.org/C143782950', 'wikidata': 'https://www.wikidata.org/wiki/Q40460', 'display_name': 'Orbifold', 'level': 2, 'score': 0.7449038}, {'id': 'https://openalex.org/C9395851', 'wikidata': 'https://www.wikidata.org/wiki/Q177929', 'display_name': 'Stack (abstract data type)', 'level': 2, 'score': 0.7247076}, {'id': 'https://openalex.org/C145691206', 'wikidata': 'https://www.wikidata.org/wiki/Q747980', 'display_name': 'Polytope', 'level': 2, 'score': 0.7113592}, {'id': 'https://openalex.org/C5052557', 'wikidata': 'https://www.wikidata.org/wiki/Q1528306', 'display_name': 'Toric variety', 'level': 2, 'score': 0.6966206}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.54929876}, {'id': 'https://openalex.org/C130190758', 'wikidata': 'https://www.wikidata.org/wiki/Q1064500', 'display_name': 'Symplectic manifold', 'level': 3, 'score': 0.4488188}, {'id': 'https://openalex.org/C2780586882', 'wikidata': 'https://www.wikidata.org/wiki/Q7520643', 'display_name': 'Simple (philosophy)', 'level': 2, 'score': 0.43930146}, {'id': 'https://openalex.org/C104586451', 'wikidata': 'https://www.wikidata.org/wiki/Q771008', 'display_name': 'Symplectic representation', 'level': 4, 'score': 0.4356715}, {'id': 'https://openalex.org/C112680207', 'wikidata': 'https://www.wikidata.org/wiki/Q714886', 'display_name': 'Regular polygon', 'level': 2, 'score': 0.4345424}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.2269449}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.11560339}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.09742227}, {'id': 'https://openalex.org/C138885662', 'wikidata': 'https://www.wikidata.org/wiki/Q5891', 'display_name': 'Philosophy', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C111472728', 'wikidata': 'https://www.wikidata.org/wiki/Q9471', 'display_name': 'Epistemology', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C199360897', 'wikidata': 'https://www.wikidata.org/wiki/Q9143', 'display_name': 'Programming language', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.1016/j.aim.2020.107135', 'pdf_url': 'https://www.sciencedirect.com/science/article/am/pii/S0001870820301614', 'source': {'id': 'https://openalex.org/S122441808', 'display_name': 'Advances in Mathematics', 'issn_l': '0001-8708', 'issn': ['0001-8708', '1090-2082'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320990', 'host_organization_name': 'Elsevier BV', 'host_organization_lineage': ['https://openalex.org/P4310320990'], 'host_organization_lineage_names': ['Elsevier BV'], 'type': 'journal'}, 'license': 'publisher-specific-oa', 'license_id': 'https://openalex.org/licenses/publisher-specific-oa', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1016/j.aim.2020.107135', 'pdf_url': 'https://www.sciencedirect.com/science/article/am/pii/S0001870820301614', 'source': {'id': 'https://openalex.org/S122441808', 'display_name': 'Advances in Mathematics', 'issn_l': '0001-8708', 'issn': ['0001-8708', '1090-2082'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320990', 'host_organization_name': 'Elsevier BV', 'host_organization_lineage': ['https://openalex.org/P4310320990'], 'host_organization_lineage_names': ['Elsevier BV'], 'type': 'journal'}, 'license': 'publisher-specific-oa', 'license_id': 'https://openalex.org/licenses/publisher-specific-oa', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [], 'grants': [{'funder': 'https://openalex.org/F4320306076', 'funder_display_name': 'National Science Foundation', 'award_id': None}], 'datasets': [], 'versions': [], 'referenced_works_count': 29, 'referenced_works': ['https://openalex.org/W1491835430', 'https://openalex.org/W1494310862', 'https://openalex.org/W1494438368', 'https://openalex.org/W1522101460', 'https://openalex.org/W1580989736', 'https://openalex.org/W1589640308', 'https://openalex.org/W1966577185', 'https://openalex.org/W1995941396', 'https://openalex.org/W2001595004', 'https://openalex.org/W2019457998', 'https://openalex.org/W2032818014', 'https://openalex.org/W2038545397', 'https://openalex.org/W2061456928', 'https://openalex.org/W2063997868', 'https://openalex.org/W2107728825', 'https://openalex.org/W2167129168', 'https://openalex.org/W2207315824', 'https://openalex.org/W2520356666', 'https://openalex.org/W2571865819', 'https://openalex.org/W2620103871', 'https://openalex.org/W2886051047', 'https://openalex.org/W2963162413', 'https://openalex.org/W2981677360', 'https://openalex.org/W3039438353', 'https://openalex.org/W3098158418', 'https://openalex.org/W3100041884', 'https://openalex.org/W3105683301', 'https://openalex.org/W3106014659', 'https://openalex.org/W589815244'], 'related_works': ['https://openalex.org/W4388725899', 'https://openalex.org/W4385197332', 'https://openalex.org/W4321471341', 'https://openalex.org/W3175549352', 'https://openalex.org/W2953085384', 'https://openalex.org/W2899509326', 'https://openalex.org/W2495098093', 'https://openalex.org/W2287564435', 'https://openalex.org/W2144322695', 'https://openalex.org/W185862059'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W3015750564', 'counts_by_year': [{'year': 2024, 'cited_by_count': 3}, {'year': 2023, 'cited_by_count': 2}, {'year': 2022, 'cited_by_count': 1}, {'year': 2021, 'cited_by_count': 1}, {'year': 2019, 'cited_by_count': 1}], 'updated_date': '2024-12-09T18:23:54.051339', 'created_date': '2020-04-17'}