[{"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","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-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"}],"publication_status":"draft","status":"public","oa":1,"date_updated":"2026-04-07T12:55:46Z","article_processing_charge":"No","author":[{"orcid":"0000-0002-9582-2634","first_name":"Tamás","full_name":"Hausel, Tamás","last_name":"Hausel","id":"4A0666D8-F248-11E8-B48F-1D18A9856A87"},{"id":"85A07246-A8BF-11E9-B4FA-D9E3E5697425","last_name":"Rychlewicz","full_name":"Rychlewicz, Kamil P","first_name":"Kamil P"}],"citation":{"short":"T. Hausel, K.P. Rychlewicz, ArXiv (n.d.).","ieee":"T. Hausel and K. P. Rychlewicz, “Spectrum of equivariant cohomology as a fixed point scheme,” <i>arXiv</i>. .","ista":"Hausel T, Rychlewicz KP. Spectrum of equivariant cohomology as a fixed point scheme. arXiv, 2212.11836.","ama":"Hausel T, Rychlewicz KP. Spectrum of equivariant cohomology as a fixed point scheme. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.2212.11836\">10.48550/arXiv.2212.11836</a>","chicago":"Hausel, Tamás, and Kamil P Rychlewicz. “Spectrum of Equivariant Cohomology as a Fixed Point Scheme.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.2212.11836\">https://doi.org/10.48550/arXiv.2212.11836</a>.","mla":"Hausel, Tamás, and Kamil P. Rychlewicz. “Spectrum of Equivariant Cohomology as a Fixed Point Scheme.” <i>ArXiv</i>, 2212.11836, doi:<a href=\"https://doi.org/10.48550/arXiv.2212.11836\">10.48550/arXiv.2212.11836</a>.","apa":"Hausel, T., &#38; Rychlewicz, K. P. (n.d.). Spectrum of equivariant cohomology as a fixed point scheme. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.2212.11836\">https://doi.org/10.48550/arXiv.2212.11836</a>"},"_id":"17157","OA_place":"repository","year":"2022","month":"12","date_created":"2024-06-23T15:01:27Z","title":"Spectrum of equivariant cohomology as a fixed point scheme","oa_version":"Preprint","external_id":{"arxiv":["2212.11836"]},"day":"22","publication":"arXiv","department":[{"_id":"GradSch"},{"_id":"TaHa"}],"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2212.11836","open_access":"1"}],"article_number":"2212.11836","doi":"10.48550/arXiv.2212.11836","type":"preprint","date_published":"2022-12-22T00:00:00Z","language":[{"iso":"eng"}],"related_material":{"record":[{"status":"public","relation":"later_version","id":"19071"},{"status":"public","relation":"dissertation_contains","id":"17156"}]},"arxiv":1}]