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Nonabelian localization in equivariant K-theory and Riemann-Roch for quotients | | Dan Edidin
; William Graham
; | | Date: |
9 Nov 2004 | | Subject: | Algebraic Geometry; K-Theory and Homology | math.AG math.KT | | Abstract: | We prove a localization formula in equivariant algebraic $K$-theory for an arbitrary complex algebraic group acting with finite stabilizer on a smooth algebraic space. This extends to non-diagonalizable groups the localization formulas H.A. Nielsen in equivariant $K$-theory of vector bundles and R.W. Thomason for higher $K$-theory of equivariant coherent sheaves. As an application we give a Riemann-Roch formula for quotients of smooth algebraic spaces by proper group actions. This formula extends previous work of B. Toen for stacks with quasi-projective moduli spaces and the authors for quotients by diagonalizable groups. | | Source: | arXiv, math.AG/0411213 | | Services: | Forum | Review | PDF | Favorites | |
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