[{"year":"2025","scopus_import":"1","OA_place":"publisher","publication_status":"published","abstract":[{"lang":"eng","text":"An action of a complex reductive group G on a smooth projective variety X is regular when all regular unipotent elements in G act with finitely many fixed points. Then the complex G\r\n-equivariant cohomology ring of X is isomorphic to the coordinate ring of a certain regular fixed point scheme. Examples include partial flag varieties, smooth Schubert varieties and Bott-Samelson varieties. We also show that a more general version of the fixed point scheme allows a generalisation to GKM spaces, such as toric varieties."}],"corr_author":"1","status":"public","date_published":"2025-02-03T00:00:00Z","arxiv":1,"publisher":"EPI Sciences","author":[{"last_name":"Hausel","full_name":"Hausel, Tamás","first_name":"Tamás","id":"4A0666D8-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9582-2634"},{"full_name":"Rychlewicz, Kamil P","first_name":"Kamil P","id":"85A07246-A8BF-11E9-B4FA-D9E3E5697425","last_name":"Rychlewicz"}],"day":"03","article_processing_charge":"Yes","file":[{"file_name":"2025_Epiga_Hausel.pdf","creator":"dernst","relation":"main_file","file_size":3276395,"file_id":"19085","checksum":"3915c6f117461502f7103878460428df","success":1,"access_level":"open_access","content_type":"application/pdf","date_updated":"2025-02-25T06:53:27Z","date_created":"2025-02-25T06:53:27Z"}],"oa_version":"Published Version","acknowledgement":"The first author was supported by an FWF grant “Geometry of the top of the nilpotent cone” number P 35847. The second author was supported by an Austrian Academy of Sciences DOC Fellowship “Topology of open smooth varieties with a torus action”. ","OA_type":"gold","title":"Spectrum of equivariant cohomology as a fixed point scheme","doi":"10.46298/epiga.2025.12591","external_id":{"arxiv":["2212.11836"]},"project":[{"_id":"34b2c9cb-11ca-11ed-8bc3-a50ba74ca4a3","name":"Geometry of the tip of the global nilpotent cone","grant_number":"P35847"},{"grant_number":"26525","name":"Topology of open smooth varieties with a torus action","_id":"34cd0f74-11ca-11ed-8bc3-bf0492a14a24"}],"file_date_updated":"2025-02-25T06:53:27Z","quality_controlled":"1","date_updated":"2025-04-15T06:31:58Z","date_created":"2025-02-23T23:01:56Z","publication":"Epijournal de Geometrie Algebrique","citation":{"ieee":"T. Hausel and K. P. Rychlewicz, “Spectrum of equivariant cohomology as a fixed point scheme,” <i>Epijournal de Geometrie Algebrique</i>, vol. 9. EPI Sciences, 2025.","ama":"Hausel T, Rychlewicz KP. Spectrum of equivariant cohomology as a fixed point scheme. <i>Epijournal de Geometrie Algebrique</i>. 2025;9. doi:<a href=\"https://doi.org/10.46298/epiga.2025.12591\">10.46298/epiga.2025.12591</a>","short":"T. Hausel, K.P. Rychlewicz, Epijournal de Geometrie Algebrique 9 (2025).","ista":"Hausel T, Rychlewicz KP. 2025. Spectrum of equivariant cohomology as a fixed point scheme. Epijournal de Geometrie Algebrique. 9, 1.","mla":"Hausel, Tamás, and Kamil P. Rychlewicz. “Spectrum of Equivariant Cohomology as a Fixed Point Scheme.” <i>Epijournal de Geometrie Algebrique</i>, vol. 9, 1, EPI Sciences, 2025, doi:<a href=\"https://doi.org/10.46298/epiga.2025.12591\">10.46298/epiga.2025.12591</a>.","apa":"Hausel, T., &#38; Rychlewicz, K. P. (2025). Spectrum of equivariant cohomology as a fixed point scheme. <i>Epijournal de Geometrie Algebrique</i>. EPI Sciences. <a href=\"https://doi.org/10.46298/epiga.2025.12591\">https://doi.org/10.46298/epiga.2025.12591</a>","chicago":"Hausel, Tamás, and Kamil P Rychlewicz. “Spectrum of Equivariant Cohomology as a Fixed Point Scheme.” <i>Epijournal de Geometrie Algebrique</i>. EPI Sciences, 2025. <a href=\"https://doi.org/10.46298/epiga.2025.12591\">https://doi.org/10.46298/epiga.2025.12591</a>."},"type":"journal_article","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","related_material":{"record":[{"status":"public","relation":"earlier_version","id":"17157"}]},"article_type":"original","volume":9,"oa":1,"has_accepted_license":"1","license":"https://creativecommons.org/licenses/by-sa/4.0/","_id":"19071","department":[{"_id":"TaHa"}],"publication_identifier":{"eissn":["2491-6765"]},"month":"02","DOAJ_listed":"1","ddc":["510"],"intvolume":"         9","article_number":"1","tmp":{"image":"/images/cc_by_sa.png","name":"Creative Commons Attribution-ShareAlike 4.0 International Public License (CC BY-SA 4.0)","legal_code_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","short":"CC BY-SA (4.0)"},"language":[{"iso":"eng"}]}]