English

Virtual equivariant Grothendieck-Riemann-Roch formula

Algebraic Geometry 2020-09-23 v1 K-Theory and Homology

Abstract

For a GG-scheme XX 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 C\mathbb{C} with proper actions.

Cite

@article{arxiv.2009.09697,
  title  = {Virtual equivariant Grothendieck-Riemann-Roch formula},
  author = {Charanya Ravi and Bhamidi Sreedhar},
  journal= {arXiv preprint arXiv:2009.09697},
  year   = {2020}
}

Comments

28 pages. Comments are welcome!

R2 v1 2026-06-23T18:40:56.847Z