{"id":"https://openalex.org/W4386147652","doi":"https://doi.org/10.1090/memo/1644","title":"Equivariant Instanton Homology","display_name":"Equivariant Instanton Homology","publication_year":2026,"publication_date":"2026-08-15","ids":{"openalex":"https://openalex.org/W4386147652","doi":"https://doi.org/10.1090/memo/1644"},"language":"en","primary_location":{"id":"doi:10.1090/memo/1644","doi":"https://doi.org/10.1090/memo/1644","is_oa":false,"landing_page_url":"https://doi.org/10.1090/memo/1644","pdf_url":null,"source":{"id":"https://openalex.org/S104585175","display_name":"Memoirs of the American Mathematical Society","issn_l":"0065-9266","issn":["0065-9266","1947-6221"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Memoirs of the American Mathematical Society","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1907.01091","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009432933","display_name":"Mike Miller Eismeier","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Mike Miller Eismeier","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5009432933"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.0295,"has_fulltext":true,"cited_by_count":15,"citation_normalized_percentile":{"value":0.89479302,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":"322","issue":"1644","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9922000169754028,"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":0.9922000169754028,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.002199999988079071,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.0008999999845400453,"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/3-manifolds","display_name":"3-manifolds","score":0.9290000200271606},{"id":"https://openalex.org/keywords/rational-homology-spheres","display_name":"rational homology spheres","score":0.9879999756813049},{"id":"https://openalex.org/keywords/monopole-floer-homology","display_name":"monopole Floer homology","score":0.8700000047683716},{"id":"https://openalex.org/keywords/heegaard-floer-homology","display_name":"Heegaard Floer homology","score":0.9980000257492065},{"id":"https://openalex.org/keywords/differential-graded-modules","display_name":"differential graded modules","score":0.4659999907016754},{"id":"https://openalex.org/keywords/equivariant-homology","display_name":"equivariant homology","score":0.8190000057220459}],"concepts":[{"id":"https://openalex.org/C171036898","wikidata":"https://www.wikidata.org/wiki/Q256355","display_name":"Equivariant map","level":2,"score":0.8333281874656677},{"id":"https://openalex.org/C55537702","wikidata":"https://www.wikidata.org/wiki/Q3139849","display_name":"Cellular homology","level":3,"score":0.820203959941864},{"id":"https://openalex.org/C121294916","wikidata":"https://www.wikidata.org/wiki/Q652525","display_name":"Floer homology","level":3,"score":0.7996203899383545},{"id":"https://openalex.org/C125198404","wikidata":"https://www.wikidata.org/wiki/Q1192916","display_name":"Instanton","level":2,"score":0.7809593677520752},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7364602088928223},{"id":"https://openalex.org/C165525559","wikidata":"https://www.wikidata.org/wiki/Q224180","display_name":"Homology (biology)","level":3,"score":0.7268385887145996},{"id":"https://openalex.org/C135783237","wikidata":"https://www.wikidata.org/wiki/Q3139850","display_name":"Morse homology","level":4,"score":0.6737901568412781},{"id":"https://openalex.org/C158512270","wikidata":"https://www.wikidata.org/wiki/Q6402652","display_name":"Khovanov homology","level":3,"score":0.598096489906311},{"id":"https://openalex.org/C79536532","wikidata":"https://www.wikidata.org/wiki/Q1959911","display_name":"Relative homology","level":3,"score":0.5951685905456543},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.550248384475708},{"id":"https://openalex.org/C201595698","wikidata":"https://www.wikidata.org/wiki/Q2421905","display_name":"Mayer\u2013Vietoris sequence","level":5,"score":0.5187761783599854},{"id":"https://openalex.org/C139962677","wikidata":"https://www.wikidata.org/wiki/Q1095056","display_name":"Singular homology","level":3,"score":0.41494494676589966},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.39723077416419983},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32142508029937744},{"id":"https://openalex.org/C72738302","wikidata":"https://www.wikidata.org/wiki/Q5384738","display_name":"Equivariant cohomology","level":3,"score":0.15488436818122864},{"id":"https://openalex.org/C78606066","wikidata":"https://www.wikidata.org/wiki/Q1198376","display_name":"Cohomology","level":2,"score":0.1440269649028778},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.12760481238365173},{"id":"https://openalex.org/C515207424","wikidata":"https://www.wikidata.org/wiki/Q8066","display_name":"Amino acid","level":2,"score":0.050306499004364014},{"id":"https://openalex.org/C68365058","wikidata":"https://www.wikidata.org/wiki/Q1179446","display_name":"De Rham cohomology","level":4,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C168619227","wikidata":"https://www.wikidata.org/wiki/Q2190991","display_name":"Symplectic geometry","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1090/memo/1644","doi":"https://doi.org/10.1090/memo/1644","is_oa":false,"landing_page_url":"https://doi.org/10.1090/memo/1644","pdf_url":null,"source":{"id":"https://openalex.org/S104585175","display_name":"Memoirs of the American Mathematical Society","issn_l":"0065-9266","issn":["0065-9266","1947-6221"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Memoirs of the American Mathematical Society","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1907.01091","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1907.01091","pdf_url":"https://arxiv.org/pdf/1907.01091","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.1907.01091","doi":"https://doi.org/10.48550/arxiv.1907.01091","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1907.01091","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1907.01091","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1907.01091","pdf_url":"https://arxiv.org/pdf/1907.01091","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G3153053069","display_name":"Floer Theories for 3-Manifolds","funder_award_id":"1708320","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4386147652.pdf","grobid_xml":"https://content.openalex.org/works/W4386147652.grobid-xml"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W135959915","https://openalex.org/W614287400","https://openalex.org/W1491126719","https://openalex.org/W1503679984","https://openalex.org/W1520607580","https://openalex.org/W1524106747","https://openalex.org/W1524197167","https://openalex.org/W1538084850","https://openalex.org/W1606470515","https://openalex.org/W1783633298","https://openalex.org/W1951317381","https://openalex.org/W1977064173","https://openalex.org/W1983880497","https://openalex.org/W1985443193","https://openalex.org/W1989887751","https://openalex.org/W2002294426","https://openalex.org/W2010605600","https://openalex.org/W2016776900","https://openalex.org/W2037423127","https://openalex.org/W2049930703","https://openalex.org/W2053508424","https://openalex.org/W2056071515","https://openalex.org/W2058930249","https://openalex.org/W2074157415","https://openalex.org/W2085768780","https://openalex.org/W2107497743","https://openalex.org/W2126128692","https://openalex.org/W2127494126","https://openalex.org/W2144248821","https://openalex.org/W2220676397","https://openalex.org/W2249839788","https://openalex.org/W2346778113","https://openalex.org/W2526084026","https://openalex.org/W2592691829","https://openalex.org/W2609896493","https://openalex.org/W2962678768","https://openalex.org/W3037593183","https://openalex.org/W3141871949","https://openalex.org/W4211159902","https://openalex.org/W4213082596","https://openalex.org/W4221147856","https://openalex.org/W4248945936","https://openalex.org/W4250056050","https://openalex.org/W4307411570"],"related_works":["https://openalex.org/W4307411570","https://openalex.org/W153401132","https://openalex.org/W2002294426","https://openalex.org/W7097863314","https://openalex.org/W2098482907","https://openalex.org/W4405909759","https://openalex.org/W4221147856","https://openalex.org/W4383987511","https://openalex.org/W2253772248","https://openalex.org/W7099414657"],"abstract_inverted_index":{"We":[0],"define":[1,179],"four":[2,53],"versions":[3,48],"of":[4,30,55,70,78,88,119,126,173],"equivariant":[5,79,128,137],"instanton":[6,80,95],"Floer":[7,59],"homology":[8,45,60,81,84,96,129,138,149,161],"(":[9,35,142,153,165],"I":[10,13,16,22,25,103],"+":[11,141],",":[12,15,146,157],"\u2212":[14,152],"\u221e":[17,104,164],"I^+,":[18],"I^-,":[19],"I^\\infty":[20,105],"and":[21,32,57,73,100,158],"~":[23],"\\widetilde":[24],")":[26,37,144,155,167],"for":[27,66,82,97,131],"a":[28,67,134],"class":[29,69],"3-manifolds":[31],"S":[33],"O":[34],"3":[36],"SO(3)":[38],"-bundles":[39],"over":[40,133],"them":[41],"including":[42],"all":[43,107],"rational":[44],"spheres.":[46,85],"These":[47],"are":[49,176],"analogous":[50],"to":[51,93,178],"the":[52,136,147,159,174],"flavors":[54],"monopole":[56],"Heegaard":[58],"theories.":[61],"This":[62],"construction":[63,125],"is":[64,91,110],"functorial":[65],"large":[68],"4-manifold":[71],"cobordisms,":[72],"agrees":[74],"with":[75],"Donaldson\u2019s":[76],"definition":[77],"integer":[83],"Furthermore,":[86],"one":[87],"our":[89,180],"invariants":[90],"isomorphic":[92],"Floer\u2019s":[94],"admissible":[98],"bundles,":[99],"we":[101],"calculate":[102],"in":[106],"cases":[108],"it":[109],"defined,":[111],"away":[112],"from":[113],"characteristic":[114],"2.":[115],"The":[116,171],"appendix,":[117],"possibly":[118],"independent":[120],"interest,":[121],"defines":[122],"an":[123],"algebraic":[124],"three":[127],"theories":[130],"dg-modules":[132],"dg-algebra,":[135],"H":[139,150,162],"A":[140,151,163],"M":[143,154,166],"H^+_A(M)":[145],"coBorel":[148],"H^-_A(M)":[156],"Tate":[160],"H^\\infty":[168],"_A(M)":[169],".":[170],"constructions":[172],"appendix":[175],"used":[177],"invariants.":[181]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2023-08-25T00:00:00"}
