Riemann–Roch for equivariant K-theory

Krishna, Amalendu (2014) Riemann–Roch for equivariant K-theory Advances in Mathematics, 262 . pp. 126-192. ISSN 0001-8708

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Official URL: http://www.sciencedirect.com/science/article/pii/S...

Related URL: http://dx.doi.org/10.1016/j.aim.2014.05.010


We show that for a linear algebraic group G acting on a smooth quasi-projective scheme X over a field, there is a Chern character map KGi(X)⊗R(G) ˆR(G) chGX→ CH*G(X,i)⊗S(G) ˆS(G) with rational coefficients, which is an isomorphism. This establishes the equivariant version of the Riemann–Roch isomorphism between the higher algebraic K-theory and the higher Chow groups of smooth quasi-projective schemes.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Equivariant K-theory; Equivariant Intersection Theory
ID Code:102501
Deposited On:09 Mar 2018 10:47
Last Modified:09 Mar 2018 10:47

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