Publication Information

{'id': 'https://openalex.org/W2752232969', 'doi': None, 'title': 'A new approach to the symplectic isotopy problem', 'display_name': 'A new approach to the symplectic isotopy problem', 'publication_year': 2017, 'publication_date': '2017-09-08', 'ids': {'openalex': 'https://openalex.org/W2752232969', 'mag': '2752232969'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://arxiv.org/pdf/1709.02544.pdf', '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': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'type': 'preprint', 'type_crossref': 'posted-content', 'indexed_in': [], '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/A5036419492', 'display_name': 'Laura Starkston', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I84218800', 'display_name': 'University of California, Davis', 'ror': 'https://ror.org/05rrcem69', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I84218800']}], 'countries': ['US'], 'is_corresponding': True, 'raw_author_name': 'Laura Starkston', 'raw_affiliation_strings': ['Department of Mathematics, University of California at Davis'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, University of California at Davis', 'institution_ids': ['https://openalex.org/I84218800']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5036419492'], 'corresponding_institution_ids': ['https://openalex.org/I84218800'], 'apc_list': None, 'apc_paid': None, 'fwci': None, 'has_fulltext': False, 'cited_by_count': 2, 'citation_normalized_percentile': {'value': 0.781823, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 71, 'max': 75}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10304', 'display_name': 'Geometric and Algebraic Topology', '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': 'Geometric and Algebraic Topology', '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/T12351', 'display_name': 'Geometry and complex manifolds', 'score': 0.975, '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': 'Geometric Analysis and Curvature Flows', 'score': 0.9701, '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/symplectomorphism', 'display_name': 'Symplectomorphism', 'score': 0.51412755}], 'concepts': [{'id': 'https://openalex.org/C2778876713', 'wikidata': 'https://www.wikidata.org/wiki/Q1361125', 'display_name': 'Isotopy', 'level': 2, 'score': 0.9365569}, {'id': 'https://openalex.org/C168619227', 'wikidata': 'https://www.wikidata.org/wiki/Q2190991', 'display_name': 'Symplectic geometry', 'level': 2, 'score': 0.9042764}, {'id': 'https://openalex.org/C2780990831', 'wikidata': 'https://www.wikidata.org/wiki/Q319141', 'display_name': 'Conjecture', 'level': 2, 'score': 0.716369}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.70622766}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.64509827}, {'id': 'https://openalex.org/C2780069185', 'wikidata': 'https://www.wikidata.org/wiki/Q7977945', 'display_name': 'Equivalence (formal languages)', 'level': 2, 'score': 0.589472}, {'id': 'https://openalex.org/C135661100', 'wikidata': 'https://www.wikidata.org/wiki/Q1049064', 'display_name': 'Symplectomorphism', 'level': 3, 'score': 0.51412755}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://arxiv.org/pdf/1709.02544.pdf', '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': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 10, 'referenced_works': ['https://openalex.org/W1643503500', 'https://openalex.org/W1986111861', 'https://openalex.org/W1993153213', 'https://openalex.org/W2021731108', 'https://openalex.org/W2027025011', 'https://openalex.org/W2076420843', 'https://openalex.org/W2290669265', 'https://openalex.org/W2498767727', 'https://openalex.org/W2517820822', 'https://openalex.org/W637650849'], 'related_works': ['https://openalex.org/W3214563142', 'https://openalex.org/W3105649798', 'https://openalex.org/W3103320989', 'https://openalex.org/W3102368921', 'https://openalex.org/W3089295272', 'https://openalex.org/W3046918898', 'https://openalex.org/W2964218227', 'https://openalex.org/W2963064258', 'https://openalex.org/W2962947494', 'https://openalex.org/W2951786708', 'https://openalex.org/W2951622507', 'https://openalex.org/W2942494969', 'https://openalex.org/W2938930713', 'https://openalex.org/W2810203312', 'https://openalex.org/W2766693178', 'https://openalex.org/W2366123166', 'https://openalex.org/W2208929174', 'https://openalex.org/W2184835101', 'https://openalex.org/W2151935461', 'https://openalex.org/W1743688834'], 'abstract_inverted_index': {'The': [0], 'symplectic': [1, 8, 68, 74, 87, 143], 'isotopy': [2, 69, 88, 144], 'conjecture': [3, 38], 'states': [4], 'that': [5], 'every': [6], 'smooth': [7, 77, 86], 'surface': [9], 'in': [10, 31, 81], '$CP^2$': [11], 'is': [12, 126], 'symplectically': [13], 'isotopic': [14], 'to': [15, 40, 65, 114, 137], 'a': [16, 54, 63, 66], 'complex': [17], 'algebraic': [18], 'curve.': [19], 'Progress': [20], 'began': [21], 'with': [22], "Gromov's": [23], 'pseudoholomorphic': [24, 109], 'curves': [25, 110], '[Gro85],': [26], 'and': [27, 33, 90, 119], 'progressed': [28], 'further': [29, 45], 'culminating': [30], 'Siebert': [32], "Tian's": [34], 'proof': [35], 'of': [36, 57, 76, 94, 102, 108, 111, 117], 'the': [37, 85, 106, 115, 123, 142], 'up': [39], 'degree': [41], '17': [42], '[ST05],': [43], 'but': [44], 'progress': [46], 'has': [47], 'stalled.': [48], 'In': [49], 'this': [50, 60, 103], 'article': [51], 'we': [52, 71], 'provide': [53], 'new': [55], 'direction': [56], 'attack': [58], 'on': [59], 'problem.': [61], 'Using': [62], 'solution': [64], 'nodal': [67], 'problem': [70, 89, 93, 104], 'guide': [72], 'model': [73], 'isotopies': [75], 'surfaces.': [78], 'This': [79, 99], 'results': [80], 'an': [82, 91, 127], 'equivalence': [83, 128], 'between': [84], 'existence': [92], 'certain': [95], 'embedded': [96], 'Lagrangian': [97], 'disks.': [98], 'redirects': [100], 'study': [101], 'from': [105], 'realm': [107, 116], 'high': [112], 'genus': [113], 'Lagrangians': [118], 'Floer': [120], 'theory.': [121], 'Because': [122], 'main': [124], 'theorem': [125], 'going': [129], 'both': [130], 'directions,': [131], 'it': [132], 'could': [133], 'theoretically': [134], 'be': [135], 'used': [136], 'either': [138], 'prove': [139], 'or': [140], 'disprove': [141], 'conjecture.': [145]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2752232969', 'counts_by_year': [{'year': 2022, 'cited_by_count': 1}, {'year': 2020, 'cited_by_count': 1}], 'updated_date': '2024-12-12T09:54:25.710289', 'created_date': '2017-09-15'}