The Z/2 cohomology of CP$^\infty$

Steven R. Costenoble
{'id': 'https://openalex.org/W2487570685', 'doi': None, 'title': 'The Z/2 cohomology of CP$^\\infty$', 'display_name': 'The Z/2 cohomology of CP$^\\infty$', 'publication_year': 2013, 'publication_date': '2013-12-03', 'ids': {'openalex': 'https://openalex.org/W2487570685', 'mag': '2487570685'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://arxiv.org/pdf/1312.0926', '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': 'article', '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/A5019623952', 'display_name': 'Steven R. Costenoble', 'orcid': 'https://orcid.org/0000-0002-7065-1437'}, 'institutions': [], 'countries': [], 'is_corresponding': True, 'raw_author_name': 'Steven R. Costenoble', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': ['https://openalex.org/A5019623952'], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 0.0, 'has_fulltext': False, 'cited_by_count': 0, 'citation_normalized_percentile': {'value': 0.0, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 0, 'max': 65}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10896', 'display_name': 'Homotopy and Cohomology in Algebraic Topology', 'score': 0.9996, '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'}}, 'topics': [{'id': 'https://openalex.org/T10896', 'display_name': 'Homotopy and Cohomology in Algebraic Topology', 'score': 0.9996, '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'}}, {'id': 'https://openalex.org/T10287', 'display_name': 'Algebraic structures and combinatorial models', 'score': 0.9937, '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': 0.9917, '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/classifying-space', 'display_name': 'Classifying space', 'score': 0.5844766}, {'id': 'https://openalex.org/keywords/cohomology-ring', 'display_name': 'Cohomology ring', 'score': 0.47742805}, {'id': 'https://openalex.org/keywords/equivariant-map', 'display_name': 'Equivariant map', 'score': 0.46003637}], 'concepts': [{'id': 'https://openalex.org/C78606066', 'wikidata': 'https://www.wikidata.org/wiki/Q1198376', 'display_name': 'Cohomology', 'level': 2, 'score': 0.7853501}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.76777875}, {'id': 'https://openalex.org/C72738302', 'wikidata': 'https://www.wikidata.org/wiki/Q5384738', 'display_name': 'Equivariant cohomology', 'level': 3, 'score': 0.67981774}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.61443645}, {'id': 'https://openalex.org/C64694042', 'wikidata': 'https://www.wikidata.org/wiki/Q5128445', 'display_name': 'Classifying space', 'level': 3, 'score': 0.5844766}, {'id': 'https://openalex.org/C137134375', 'wikidata': 'https://www.wikidata.org/wiki/Q1509762', 'display_name': 'Line bundle', 'level': 2, 'score': 0.480268}, {'id': 'https://openalex.org/C2779185822', 'wikidata': 'https://www.wikidata.org/wiki/Q5141399', 'display_name': 'Cohomology ring', 'level': 4, 'score': 0.47742805}, {'id': 'https://openalex.org/C171036898', 'wikidata': 'https://www.wikidata.org/wiki/Q256355', 'display_name': 'Equivariant map', 'level': 2, 'score': 0.46003637}, {'id': 'https://openalex.org/C95857938', 'wikidata': 'https://www.wikidata.org/wiki/Q658429', 'display_name': 'Vector bundle', 'level': 2, 'score': 0.43933293}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://arxiv.org/pdf/1312.0926', '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': 0, 'referenced_works': [], 'related_works': ['https://openalex.org/W347190259', 'https://openalex.org/W3204683756', 'https://openalex.org/W3159819309', 'https://openalex.org/W2996247691', 'https://openalex.org/W2962719291', 'https://openalex.org/W2962192011', 'https://openalex.org/W2952501174', 'https://openalex.org/W2884366974', 'https://openalex.org/W2781571177', 'https://openalex.org/W2738066279', 'https://openalex.org/W2499160938', 'https://openalex.org/W231525872', 'https://openalex.org/W2288665361', 'https://openalex.org/W2147315104', 'https://openalex.org/W2035241867', 'https://openalex.org/W2020035333', 'https://openalex.org/W1982239131', 'https://openalex.org/W1843093499', 'https://openalex.org/W1575269949', 'https://openalex.org/W1492624654'], 'abstract_inverted_index': {'With': [0], '$G': [1], '=': [2, 15], '\\mathbb{Z}/2$,': [3], 'we': [4, 43], 'calculate': [5], 'the': [6, 17, 24, 60, 64], 'ordinary': [7, 34], '$G$-cohomology': [8], '(with': [9], 'Burnside': [10], 'ring': [11], 'coefficients)': [12], 'of': [13, 57, 63], '$\\mathbb{C}P_G^\\infty': [14], 'B_GU(1)$,': [16], 'complex': [18, 29], 'projective': [19], 'space,': [20], 'a': [21, 46, 53], 'model': [22], 'for': [23, 27], 'classifying': [25], 'space': [26], '$G$-equivariant': [28], 'line': [30], 'bundles.': [31], 'The': [32], '$RO(G)$-graded': [33], 'cohomology': [35], 'was': [36], 'calculated': [37], 'by': [38], 'Gaunce': [39], 'Lewis,': [40], 'but': [41], 'here': [42], 'extend': [44], 'to': [45, 51], 'larger': [47], 'grading': [48], 'in': [49], 'order': [50], 'capture': [52], 'more': [54], 'natural': [55], 'set': [56], 'generators,': [58], 'including': [59], 'Euler': [61], 'class': [62], 'canonical': [65], 'bundle.': [66]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2487570685', 'counts_by_year': [], 'updated_date': '2024-12-13T21:16:40.208294', 'created_date': '2016-08-23'}
Publication Information

Basic Information

Access and Citation

AI Researcher Chatbot

Primary Location

Authors

Topics

Keywords

Related Works
