[{"type":"journal_article","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”. ","status":"public","publication_identifier":{"eissn":["2491-6765"]},"volume":9,"OA_place":"publisher","doi":"10.46298/epiga.2025.12591","has_accepted_license":"1","related_material":{"record":[{"relation":"earlier_version","status":"public","id":"17157"}]},"file":[{"access_level":"open_access","creator":"dernst","success":1,"file_id":"19085","date_updated":"2025-02-25T06:53:27Z","file_name":"2025_Epiga_Hausel.pdf","content_type":"application/pdf","file_size":3276395,"checksum":"3915c6f117461502f7103878460428df","date_created":"2025-02-25T06:53:27Z","relation":"main_file"}],"language":[{"iso":"eng"}],"tmp":{"name":"Creative Commons Attribution-ShareAlike 4.0 International Public License (CC BY-SA 4.0)","short":"CC BY-SA (4.0)","image":"/images/cc_by_sa.png","legal_code_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode"},"year":"2025","oa":1,"DOAJ_listed":"1","arxiv":1,"month":"02","license":"https://creativecommons.org/licenses/by-sa/4.0/","_id":"19071","oa_version":"Published Version","article_processing_charge":"Yes","day":"03","intvolume":"         9","department":[{"_id":"TaHa"}],"scopus_import":"1","article_type":"original","publisher":"EPI Sciences","ddc":["510"],"quality_controlled":"1","citation":{"ista":"Hausel T, Rychlewicz KP. 2025. Spectrum of equivariant cohomology as a fixed point scheme. Epijournal de Geometrie Algebrique. 9, 1.","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.","short":"T. Hausel, K.P. Rychlewicz, Epijournal de Geometrie Algebrique 9 (2025).","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>","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>","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>."},"article_number":"1","corr_author":"1","OA_type":"gold","date_published":"2025-02-03T00:00:00Z","file_date_updated":"2025-02-25T06:53:27Z","publication":"Epijournal de Geometrie Algebrique","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_status":"published","abstract":[{"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.","lang":"eng"}],"date_updated":"2025-04-15T06:31:58Z","external_id":{"arxiv":["2212.11836"]},"date_created":"2025-02-23T23:01:56Z","author":[{"last_name":"Hausel","first_name":"Tamás","orcid":"0000-0002-9582-2634","id":"4A0666D8-F248-11E8-B48F-1D18A9856A87","full_name":"Hausel, Tamás"},{"full_name":"Rychlewicz, Kamil P","id":"85A07246-A8BF-11E9-B4FA-D9E3E5697425","first_name":"Kamil P","last_name":"Rychlewicz"}],"title":"Spectrum of equivariant cohomology as a fixed point scheme","project":[{"grant_number":"P35847","name":"Geometry of the tip of the global nilpotent cone","_id":"34b2c9cb-11ca-11ed-8bc3-a50ba74ca4a3"},{"_id":"34cd0f74-11ca-11ed-8bc3-bf0492a14a24","name":"Topology of open smooth varieties with a torus action","grant_number":"26525"}]}]