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Equivariant Todd Classes for Toric Varieties

Jean-Luc Brylinski, Bin Zhang

math.AGarXiv:math/0311318

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.

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