Equivariant Riemann-Roch for \(G\)-quasi-projective varieties. I

DOI10.1023/A:1007766614969zbMath0926.19002OpenAlexW1990764239MaRDI QIDQ1295975

Roy Joshua

Publication date: 10 November 1999

Published in: \(K\)-Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1007766614969

zbMATH Keywords

convolutionequivariant cohomologyequivariant \(K\)-theoryChern characterPoincaré-Lefschetz dualitytopological \(K\)-theoryFredholm complexesAtiyah-Segal \(K\)-theoryequivariant Riemann-RochTodd homomorphism

Mathematics Subject Classification ID

Equivariant (K)-theory (19L47) (Co)homology theory in algebraic geometry (14F99) Riemann-Roch theorems, Chern characters (19L10)

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Bredon-style homology, cohomology and Riemann-Roch for algebraic stacks ⋮ Derived equivalences of hyperkähler varieties ⋮ Perverse coherent sheaves on blowup. III: Blow-up formula from wall-crossing ⋮ Intersection cohomology of reductive varieties ⋮ Modules over convolution algebras from equivariant derived categories. I

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