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