Corpus ID: 173990740

Equivariant Grothendieck-Riemann-Roch theorem via formal deformation theory

@inproceedings{Kondyrev2019EquivariantGT,
  title={Equivariant Grothendieck-Riemann-Roch theorem via formal deformation theory},
  author={G. Kondyrev and A. Prikhodko},
  year={2019}
}
We use the formalism of traces in higher categories to prove a common generalization of the holomorphic Atiyah-Bott fixed point formula and the Grothendieck-Riemann-Roch theorem. The proof is quite different from the original one proposed by Grothendieck et al.: it relies on the interplay between self dualities of quasiand indcoherent sheaves on X and formal deformation theory of Gaitsgory-Rozenblyum. In particular, we give a description of the Todd class in terms of the difference of two… Expand