Nonabelian localization in equivariant K-theory and Riemann-Roch for quotients

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dc.creatorEdidin, Dan
dc.creatorGraham, William
dc.date2004-11-09
dc.date2005-07-13
dc.date.accessioned2026-07-07T05:14:09Z
dc.date.available2026-07-07T05:14:09Z
dc.descriptionWe 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.
dc.descriptionTo appear in Advances in Math (Artin volume); 38pages, latex.Minor revisions and deletions from previous version
dc.identifierhttps://arxiv.org/abs/math/0411213
dc.identifierhttp://arxiv.org/abs/math/0411213
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73169
dc.subjectAlgebraic Geometry
dc.subjectK-Theory and Homology
dc.titleNonabelian localization in equivariant K-theory and Riemann-Roch for quotients
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