Spectrum of equivariant cohomology as a fixed point scheme
Hausel T, Rychlewicz KP. Spectrum of equivariant cohomology as a fixed point scheme. arXiv, 2212.11836.
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Abstract
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.
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Date Published
2022-12-22
Journal Title
arXiv
Article Number
2212.11836
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Cite this
Hausel T, Rychlewicz KP. Spectrum of equivariant cohomology as a fixed point scheme. arXiv. doi:10.48550/arXiv.2212.11836
Hausel, T., & Rychlewicz, K. P. (n.d.). Spectrum of equivariant cohomology as a fixed point scheme. arXiv. https://doi.org/10.48550/arXiv.2212.11836
Hausel, Tamás, and Kamil P Rychlewicz. “Spectrum of Equivariant Cohomology as a Fixed Point Scheme.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2212.11836.
T. Hausel and K. P. Rychlewicz, “Spectrum of equivariant cohomology as a fixed point scheme,” arXiv. .
Hausel T, Rychlewicz KP. Spectrum of equivariant cohomology as a fixed point scheme. arXiv, 2212.11836.
Hausel, Tamás, and Kamil P. Rychlewicz. “Spectrum of Equivariant Cohomology as a Fixed Point Scheme.” ArXiv, 2212.11836, doi:10.48550/arXiv.2212.11836.
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