Equivariant Todd Classes for Toric Varieties
Jean-Luc Brylinski, Bin Zhang
Abstract
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Jean-Luc Brylinski, Bin Zhang
Abstract
Open-access reader
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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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.
Key concepts: Equivariant map, Mathematics, Toric variety, Pure mathematics, Algebra over a field