# 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

#### References

SHOWING 1-10 OF 17 REFERENCES