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  Virtual equivariant Grothendieck-Riemann-Roch formula

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

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Item Permalink: https://hdl.handle.net/21.11116/0000-000B-4667-3 Version Permalink: https://hdl.handle.net/21.11116/0000-000E-0B5B-1
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 Creators:
Ravi, Charanya1, Author           
Sreedhar, Bhamidi, Author
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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 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.

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Language(s): eng - English
 Dates: 2021
 Publication Status: Published online
 Pages: 34
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 Rev. Type: Peer
 Identifiers: DOI: 10.25537/dm.2021v26.2061-2094
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Title: Documenta Mathematica
Source Genre: Journal
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Publ. Info: Deutsche Mathematiker-Vereinigung
Pages: - Volume / Issue: 26 Sequence Number: - Start / End Page: 2061 - 2094 Identifier: -