Virtual equivariant Grothendieck-Riemann-Roch formula

2020/09/21 by Ravi, Charanya, Sreedhar, Bhamidi
#14C15 (Secondary) #19L10 (Primary) #19L47 #Algebraic Geometry (math.AG) #FOS: Mathematics #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.2009.09697

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 Fantechi-Göttsche to the equivariant context. We also prove a virtual non-abelian localization theorem for schemes over ℂ with proper actions.

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