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Journal Article

Virtual equivariant Grothendieck-Riemann-Roch formula

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Ravi,  Charanya
Max Planck Institute for Mathematics, Max Planck Society;

External Resource

https://doi.org/10.25537/dm.2021v26.2061-2094
(Publisher version)

https://doi.org/10.48550/arXiv.2009.09697
(Preprint)

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Citation

Ravi, C., & Sreedhar, B. (2021). Virtual equivariant Grothendieck-Riemann-Roch formula. Documenta Mathematica, 26, 2061-2094. doi:10.25537/dm.2021v26.2061-2094.


Cite as: https://hdl.handle.net/21.11116/0000-000B-4667-3
Abstract
For a G-scheme X with a given equivariant perfect obstruction theory, we prove a virtual equivariant Grothendieck-Riemann-Roch formula, this is an extension of a result of \textit{B. Fantechi} and \textit{L. Göttsche} [Geom. Topol. 14, No. 1, 83--115 (2010; Zbl 1194.14017)] to the equivariant context. We also prove a virtual non-abelian localization theorem for schemes over C with proper actions.