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- W2088349898 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 nondiagonalizable groups the localization formulas of Nielsen [Diagonalizably linearized coherent sheaves, Bull. Soc. Math. France 102 (1974) 85–97] and Thomason [Une formule de Lefschetz en K -théorie équivariante algébrique, Duke Math. J. 68(3) (1992) 447–462]. 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 Toen [Théorèmes de Riemann–Roch pour les champs de Deligne-Mumford, K -Theory 18(1) (1999) 33–76] and the authors [Riemann–Roch for quotients and Todd classes of simplicial toric varieties, Comm. Algebra 31 (2003) 3735–3752]." @default.
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- W2088349898 date "2005-12-01" @default.
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- W2088349898 title "Nonabelian localization in equivariant <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif display=inline overflow=scroll><mml:mi>K</mml:mi></mml:math>-theory and Riemann–Roch for quotients" @default.
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- W2088349898 doi "https://doi.org/10.1016/j.aim.2005.06.010" @default.
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