Anomalies and the Euler characteristic of elliptic Calabi–Yau threefolds

Name: Work Video:
Duration: 3 min 30 s
Antonella Grassi; David R. Morrison
{'id': 'https://openalex.org/W2962998322', 'doi': 'https://doi.org/10.4310/cntp.2012.v6.n1.a2', 'title': 'Anomalies and the Euler characteristic of elliptic Calabi–Yau threefolds', 'display_name': 'Anomalies and the Euler characteristic of elliptic Calabi–Yau threefolds', 'publication_year': 2012, 'publication_date': '2012-01-01', 'ids': {'openalex': 'https://openalex.org/W2962998322', 'doi': 'https://doi.org/10.4310/cntp.2012.v6.n1.a2', 'mag': '2962998322'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.4310/cntp.2012.v6.n1.a2', 'pdf_url': 'https://www.intlpress.com/site/pub/files/_fulltext/journals/cntp/2012/0006/0001/CNTP-2012-0006-0001-a002.pdf', 'source': {'id': 'https://openalex.org/S2492112811', 'display_name': 'Communications in Number Theory and Physics', 'issn_l': '1931-4523', 'issn': ['1931-4523', '1931-4531'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': None, 'host_organization_name': None, 'host_organization_lineage': [], 'host_organization_lineage_names': [], 'type': 'journal'}, 'license': None, 'license_id': None, '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.intlpress.com/site/pub/files/_fulltext/journals/cntp/2012/0006/0001/CNTP-2012-0006-0001-a002.pdf', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5071447348', 'display_name': 'Antonella Grassi', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I79576946', 'display_name': 'University of Pennsylvania', 'ror': 'https://ror.org/00b30xv10', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I79576946']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Antonella Grassi', 'raw_affiliation_strings': ['Department of Mathematics, University of Pennsylvania'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, University of Pennsylvania', 'institution_ids': ['https://openalex.org/I79576946']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5048369057', 'display_name': 'David R. Morrison', 'orcid': 'https://orcid.org/0000-0001-6286-1277'}, 'institutions': [{'id': 'https://openalex.org/I154570441', 'display_name': 'University of California, Santa Barbara', 'ror': 'https://ror.org/02t274463', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I154570441']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'David R. Morrison', 'raw_affiliation_strings': ['Departments of Mathematics and Physics, University of California at Santa Barbara'], 'affiliations': [{'raw_affiliation_string': 'Departments of Mathematics and Physics, University of California at Santa Barbara', 'institution_ids': ['https://openalex.org/I154570441']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 2, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 4.256, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 131, 'citation_normalized_percentile': {'value': 0.999915, 'is_in_top_1_percent': True, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 98, 'max': 99}, 'biblio': {'volume': '6', 'issue': '1', 'first_page': '51', 'last_page': '127'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10025', 'display_name': 'Black Holes and Theoretical Physics', 'score': 1.0, 'subfield': {'id': 'https://openalex.org/subfields/3106', 'display_name': 'Nuclear and High Energy Physics'}, 'field': {'id': 'https://openalex.org/fields/31', 'display_name': 'Physics and Astronomy'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T10025', 'display_name': 'Black Holes and Theoretical Physics', 'score': 1.0, 'subfield': {'id': 'https://openalex.org/subfields/3106', 'display_name': 'Nuclear and High Energy Physics'}, 'field': {'id': 'https://openalex.org/fields/31', 'display_name': 'Physics and Astronomy'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T10061', 'display_name': 'Algebraic Geometry and Number Theory', 'score': 0.9997, '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/T11680', 'display_name': 'Advanced Algebra and Geometry', 'score': 0.9992, '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/calabi–yau-manifold', 'display_name': 'Calabi–Yau manifold', 'score': 0.9547612}], 'concepts': [{'id': 'https://openalex.org/C158260368', 'wikidata': 'https://www.wikidata.org/wiki/Q549959', 'display_name': 'Calabi–Yau manifold', 'level': 2, 'score': 0.9547612}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.6006492}, {'id': 'https://openalex.org/C62884695', 'wikidata': 'https://www.wikidata.org/wiki/Q184871', 'display_name': "Euler's formula", 'level': 2, 'score': 0.5980919}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.47112036}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.341069}], 'mesh': [], 'locations_count': 3, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.4310/cntp.2012.v6.n1.a2', 'pdf_url': 'https://www.intlpress.com/site/pub/files/_fulltext/journals/cntp/2012/0006/0001/CNTP-2012-0006-0001-a002.pdf', 'source': {'id': 'https://openalex.org/S2492112811', 'display_name': 'Communications in Number Theory and Physics', 'issn_l': '1931-4523', 'issn': ['1931-4523', '1931-4531'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': None, 'host_organization_name': None, 'host_organization_lineage': [], 'host_organization_lineage_names': [], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, {'is_oa': True, 'landing_page_url': 'https://hdl.handle.net/11585/683273', 'pdf_url': 'https://cris.unibo.it/bitstream/11585/683273/5/MorrisonAnomalies-Euler-Rev5.pdf', 'source': {'id': 'https://openalex.org/S4306402579', 'display_name': 'Archivio istituzionale della ricerca (Alma Mater Studiorum Università di Bologna)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I4210117483', 'host_organization_name': 'Istituto di Ematologia di Bologna', 'host_organization_lineage': ['https://openalex.org/I4210117483'], 'host_organization_lineage_names': ['Istituto di Ematologia di Bologna'], 'type': 'repository'}, 'license': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1109.0042', 'pdf_url': 'https://arxiv.org/pdf/1109.0042', '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': 'https://doi.org/10.4310/cntp.2012.v6.n1.a2', 'pdf_url': 'https://www.intlpress.com/site/pub/files/_fulltext/journals/cntp/2012/0006/0001/CNTP-2012-0006-0001-a002.pdf', 'source': {'id': 'https://openalex.org/S2492112811', 'display_name': 'Communications in Number Theory and Physics', 'issn_l': '1931-4523', 'issn': ['1931-4523', '1931-4531'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': None, 'host_organization_name': None, 'host_organization_lineage': [], 'host_organization_lineage_names': [], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 65, 'referenced_works': ['https://openalex.org/W102194274', 'https://openalex.org/W110480154', 'https://openalex.org/W1496801598', 'https://openalex.org/W1503956051', 'https://openalex.org/W1541037870', 'https://openalex.org/W1552560020', 'https://openalex.org/W1564406588', 'https://openalex.org/W1603281724', 'https://openalex.org/W1621578636', 'https://openalex.org/W1626579161', 'https://openalex.org/W1654490199', 'https://openalex.org/W1869595217', 'https://openalex.org/W1880894379', 'https://openalex.org/W1965395651', 'https://openalex.org/W1975297000', 'https://openalex.org/W1980269579', 'https://openalex.org/W1981948325', 'https://openalex.org/W1984210636', 'https://openalex.org/W1987414926', 'https://openalex.org/W1991702378', 'https://openalex.org/W1992782858', 'https://openalex.org/W2008469204', 'https://openalex.org/W2011510400', 'https://openalex.org/W2012218074', 'https://openalex.org/W2018964148', 'https://openalex.org/W2043888870', 'https://openalex.org/W2053675863', 'https://openalex.org/W2055639220', 'https://openalex.org/W2070920936', 'https://openalex.org/W2071881521', 'https://openalex.org/W2075861036', 'https://openalex.org/W2090943711', 'https://openalex.org/W2092610275', 'https://openalex.org/W2133273498', 'https://openalex.org/W2141554589', 'https://openalex.org/W2144236738', 'https://openalex.org/W2160680503', 'https://openalex.org/W2528526411', 'https://openalex.org/W2596235265', 'https://openalex.org/W2949205548', 'https://openalex.org/W2953098913', 'https://openalex.org/W2962979837', 'https://openalex.org/W2964026870', 'https://openalex.org/W3000697522', 'https://openalex.org/W3098080353', 'https://openalex.org/W3098214583', 'https://openalex.org/W3100457929', 'https://openalex.org/W3101218594', 'https://openalex.org/W3101982276', 'https://openalex.org/W3102099073', 'https://openalex.org/W3102245904', 'https://openalex.org/W3102332979', 'https://openalex.org/W3102584465', 'https://openalex.org/W3103151147', 'https://openalex.org/W3103410420', 'https://openalex.org/W3103782870', 'https://openalex.org/W3103886797', 'https://openalex.org/W3121917931', 'https://openalex.org/W3122699502', 'https://openalex.org/W391438951', 'https://openalex.org/W4238813862', 'https://openalex.org/W4240521877', 'https://openalex.org/W4245824469', 'https://openalex.org/W4378735743', 'https://openalex.org/W566734556'], 'related_works': ['https://openalex.org/W4302453064', 'https://openalex.org/W4301205229', 'https://openalex.org/W4248009005', 'https://openalex.org/W2461579073', 'https://openalex.org/W2347042300', 'https://openalex.org/W2147428910', 'https://openalex.org/W2052283845', 'https://openalex.org/W2041018498', 'https://openalex.org/W2011257096', 'https://openalex.org/W1044232727'], 'abstract_inverted_index': {'We': [0], 'investigate': [1], 'the': [2, 6, 22, 26, 33, 36, 40, 63, 66, 98, 102, 105, 120, 125, 129], 'delicate': [3], 'interplay': [4], 'between': [5], 'types': [7], 'of': [8, 14, 25, 39, 65, 77, 101, 112, 128], 'singular': [9], 'fibers': [10], 'in': [11, 109, 123], 'elliptic': [12, 67, 75], 'fibrations': [13, 76], 'Calabi-Yau': [15, 130], 'threefolds': [16], '(used': [17], 'to': [18, 94], 'formulate': [19], 'F-theory)': [20], 'and': [21, 35, 69, 89, 114], '"matter"': [23], 'representation': [24], 'associated': [27], 'Lie': [28], 'algebra.The': [29], 'main': [30], 'tool': [31], 'is': [32, 52, 91], 'analysis': [34], 'appropriate': [37], 'interpretation': [38], 'anomaly': [41, 50, 106], 'formula': [42, 51, 108, 118], 'for': [43, 74], 'six-dimensional': [44], 'supersymmetric': [45], 'theories.We': [46], 'find': [47], 'that': [48, 70, 84], 'this': [49, 71, 87, 117], 'geometrically': [53], 'captured': [54], 'by': [55], 'a': [56, 81, 110], 'relation': [57, 72], 'among': [58], 'codimension': [59], 'two': [60], 'cycles': [61], 'on': [62], 'base': [64], 'fibration,': [68], 'holds': [73], 'any': [78], 'dimension.We': [79], 'introduce': [80], '"Tate': [82], 'cycle"': [83], 'efficiently': [85], 'describes': [86], 'relationship,': [88], 'which': [90], 'remarkably': [92], 'easy': [93], 'calculate': [95], 'explicitly': [96], 'from': [97], 'Weierstrass': [99], 'equation': [100], 'fibration.We': [103], 'check': [104], 'cancellation': [107], 'number': [111], 'situations': [113], 'show': [115], 'how': [116], 'constrains': [119], 'geometry': [121], '(and': [122], 'particular': [124], 'Euler': [126], 'characteristic)': [127], 'threefold.': [131]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2962998322', 'counts_by_year': [{'year': 2024, 'cited_by_count': 4}, {'year': 2023, 'cited_by_count': 3}, {'year': 2022, 'cited_by_count': 14}, {'year': 2021, 'cited_by_count': 11}, {'year': 2020, 'cited_by_count': 10}, {'year': 2019, 'cited_by_count': 8}, {'year': 2018, 'cited_by_count': 17}, {'year': 2017, 'cited_by_count': 10}, {'year': 2016, 'cited_by_count': 10}, {'year': 2015, 'cited_by_count': 18}, {'year': 2014, 'cited_by_count': 10}, {'year': 2013, 'cited_by_count': 6}, {'year': 2012, 'cited_by_count': 5}], 'updated_date': '2024-12-19T07:19:53.017962', 'created_date': '2019-07-30'}
Publication Information

Basic Information

Access and Citation

AI Researcher Chatbot

Primary Location

Authors

Topics

Keywords

Related Works
