Publication Information

{'id': 'https://openalex.org/W2952692313', 'doi': 'https://doi.org/10.48550/arxiv.math/0607421', 'title': 'Orbifold cohomology of hypertoric varieties', 'display_name': 'Orbifold cohomology of hypertoric varieties', 'publication_year': 2006, 'publication_date': '2006-01-01', 'ids': {'openalex': 'https://openalex.org/W2952692313', 'doi': 'https://doi.org/10.48550/arxiv.math/0607421', 'mag': '2952692313'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/math/0607421', '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': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'preprint', 'type_crossref': 'journal-article', 'indexed_in': ['arxiv', 'datacite'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': 'https://arxiv.org/abs/math/0607421', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5063933717', 'display_name': 'Rebecca Goldin', 'orcid': 'https://orcid.org/0000-0001-7082-0248'}, 'institutions': [{'id': 'https://openalex.org/I162714631', 'display_name': 'George Mason University', 'ror': 'https://ror.org/02jqj7156', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I162714631']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Rebecca Goldin', 'raw_affiliation_strings': ['Mathematical Sciences MS 3F2, George Mason University, 4400 University Drive, Fairfax, VA 22030, USA'], 'affiliations': [{'raw_affiliation_string': 'Mathematical Sciences MS 3F2, George Mason University, 4400 University Drive, Fairfax, VA 22030, USA', 'institution_ids': ['https://openalex.org/I162714631']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5001770867', 'display_name': 'Megumi Harada', 'orcid': 'https://orcid.org/0000-0001-8939-7531'}, 'institutions': [{'id': 'https://openalex.org/I98251732', 'display_name': 'McMaster University', 'ror': 'https://ror.org/02fa3aq29', 'country_code': 'CA', 'type': 'education', 'lineage': ['https://openalex.org/I98251732']}], 'countries': ['CA'], 'is_corresponding': False, 'raw_author_name': 'Megumi Harada', 'raw_affiliation_strings': ['Department of Mathematics and Statistics, McMaster University, 1280 Main Street West, Hamilton, On L8S4K1, Canada.'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics and Statistics, McMaster University, 1280 Main Street West, Hamilton, On L8S4K1, Canada.', 'institution_ids': ['https://openalex.org/I98251732']}]}], 'institution_assertions': [], 'countries_distinct_count': 2, 'institutions_distinct_count': 2, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': None, 'has_fulltext': False, 'cited_by_count': 1, 'citation_normalized_percentile': {'value': 0.503093, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 61, 'max': 68}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10948', 'display_name': 'Advanced Combinatorial Mathematics', 'score': 0.9998, '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': 0.9998, '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/T10061', 'display_name': 'Algebraic Geometry and Number Theory', 'score': 0.9992, '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/T10287', 'display_name': 'Algebraic structures and combinatorial models', 'score': 0.9979, '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': 0.9561244}, {'id': 'https://openalex.org/keywords/hyperplane', 'display_name': 'Hyperplane', 'score': 0.6567445}, {'id': 'https://openalex.org/keywords/toric-variety', 'display_name': 'Toric variety', 'score': 0.46272886}], 'concepts': [{'id': 'https://openalex.org/C143782950', 'wikidata': 'https://www.wikidata.org/wiki/Q40460', 'display_name': 'Orbifold', 'level': 2, 'score': 0.9561244}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.80302}, {'id': 'https://openalex.org/C68693459', 'wikidata': 'https://www.wikidata.org/wiki/Q657586', 'display_name': 'Hyperplane', 'level': 2, 'score': 0.6567445}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.6317995}, {'id': 'https://openalex.org/C78606066', 'wikidata': 'https://www.wikidata.org/wiki/Q1198376', 'display_name': 'Cohomology', 'level': 2, 'score': 0.5657517}, {'id': 'https://openalex.org/C168619227', 'wikidata': 'https://www.wikidata.org/wiki/Q2190991', 'display_name': 'Symplectic geometry', 'level': 2, 'score': 0.54375845}, {'id': 'https://openalex.org/C129621563', 'wikidata': 'https://www.wikidata.org/wiki/Q429593', 'display_name': 'Betti number', 'level': 2, 'score': 0.5294568}, {'id': 'https://openalex.org/C92757383', 'wikidata': 'https://www.wikidata.org/wiki/Q382497', 'display_name': 'Affine transformation', 'level': 2, 'score': 0.4908529}, {'id': 'https://openalex.org/C5052557', 'wikidata': 'https://www.wikidata.org/wiki/Q1528306', 'display_name': 'Toric variety', 'level': 2, 'score': 0.46272886}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.3864283}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.26395458}], 'mesh': [], 'locations_count': 3, 'locations': [{'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/math/0607421', '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': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'http://arxiv.org/abs/math/0607421', 'pdf_url': 'http://arxiv.org/pdf/math/0607421', '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}, {'is_oa': False, 'landing_page_url': 'https://api.datacite.org/dois/10.48550/arxiv.math/0607421', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4393179698', 'display_name': 'DataCite API', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I4210145204', 'host_organization_name': 'DataCite', 'host_organization_lineage': ['https://openalex.org/I4210145204'], 'host_organization_lineage_names': ['DataCite'], 'type': 'metadata'}, 'license': None, 'license_id': None, 'version': None}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/math/0607421', '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': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': None, 'is_accepted': False, 'is_published': False}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 11, 'referenced_works': ['https://openalex.org/W1480372608', 'https://openalex.org/W1512537105', 'https://openalex.org/W1558796308', 'https://openalex.org/W1584927588', 'https://openalex.org/W1975628350', 'https://openalex.org/W2010758455', 'https://openalex.org/W2083792745', 'https://openalex.org/W2092248571', 'https://openalex.org/W2157665758', 'https://openalex.org/W3103886628', 'https://openalex.org/W3104669377'], 'related_works': ['https://openalex.org/W4385197332', 'https://openalex.org/W4252042095', 'https://openalex.org/W3175549352', 'https://openalex.org/W2951642601', 'https://openalex.org/W2949197348', 'https://openalex.org/W2775311155', 'https://openalex.org/W2165078826', 'https://openalex.org/W2107999073', 'https://openalex.org/W1966602744', 'https://openalex.org/W12552772'], 'abstract_inverted_index': {'Hypertoric': [0], 'varieties': [1, 32], 'are': [2, 9, 25, 33], 'hyperk\\"ahler': [3, 13, 44], 'analogues': [4, 45], 'of': [5, 15, 39, 46, 61, 66, 73, 77, 92], 'toric': [6, 23], 'varieties,': [7], 'and': [8, 53], 'constructed': [10], 'as': [11, 21], 'abelian': [12], 'quotients': [14], 'a': [16, 78], 'quaternionic': [17], 'affine': [18], 'space.': [19], 'Just': [20], 'symplectic': [22, 47], 'orbifolds': [24], 'determined': [26], 'by': [27, 50], 'labelled': [28], 'polytopes,': [29], 'orbifold': [30, 64, 68, 93], 'hypertoric': [31, 69], 'intimately': [34], 'related': [35], 'to': [36], 'the': [37, 62, 74], 'combinatorics': [38], 'hyperplane': [40, 82], 'arrangements.': [41], 'By': [42], 'developing': [43], 'techniques': [48], 'developed': [49], 'Goldin,': [51], 'Holm,': [52], 'Knutson,': [54], 'we': [55], 'give': [56], 'an': [57, 67], 'explicit': [58, 87], 'combinatorial': [59, 75], 'description': [60], 'Chen-Ruan': [63], 'cohomology': [65], 'variety': [70], 'in': [71], 'terms': [72], 'data': [76], 'rational': [79], 'cooriented': [80], 'weighted': [81], 'arrangement.': [83], 'We': [84], 'detail': [85], 'several': [86], 'examples,': [88], 'including': [89], 'some': [90], 'computations': [91], 'Betti': [94], 'numbers': [95], '(and': [96], 'Euler': [97], 'characteristics).': [98]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2952692313', 'counts_by_year': [], 'updated_date': '2024-12-13T07:27:32.225394', 'created_date': '2019-06-27'}