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arXiv · 2009.09697

Virtual equivariant Grothendieck-Riemann-Roch formula

Charanya Ravi·Bhamidi Sreedhar
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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 Fantechi-G\"ottsche to the equivariant context. We also prove a virtual non-abelian localization theorem for schemes over $\mathbb{C}$ with proper actions.

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Charanya Ravi, Bhamidi Sreedhar. 2020-09-21. Virtual equivariant Grothendieck-Riemann-Roch formula. https://arxiv.org/abs/2009.09697

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