Equivariant Todd Classes for Toric Varieties

Abstract

For a complete toric variety, we obtain an explicit formula for the localized equivariant Todd class in terms of the combinatorial data -- the fan. This is based on the equivariant Riemann-Roch theorem and the computation of the equivariant cohomology and equivariant homology of toric varieties.

References in corpus (2)

• Characteristic classes in the Chow ring
• Equivariant intersection theory

Cited by in corpus (8)

• Parity Sheaves
• Renormalization of multiple zeta values
• Differential Birkhoff decomposition and the renormalization of multiple zeta values
• Equivariant Hirzebruch class for singular varieties
• Frobenius splittings of toric varieties
• The positivity of local equivariant Hirzebruch class for toric varieties
• On torsion in homology of singular toric varieties
• Weights in the cohomology of toric varieties