Equivariant index formulas for orbifolds

DOI10.1215/S0012-7094-96-08226-5zbMath0874.57029MaRDI QIDQ1919639

Michèle Vergne

Publication date: 9 November 1997

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Lie grouporbifoldselliptic operatorsequivariant cohomologyindex formulasmooth manifoldequivariant Chern character

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Index theory and related fixed-point theorems on manifolds (58J20)

Related Items

\([Q,R=0\) and Kostant partition functions], An orbifold relative index theorem, Multiplicities formula for geometric quantization. II, The index of leafwise \(G\)-transversally elliptic operators on foliations, Nonlocal elliptic operators for compact Lie groups, An equivariant orbifold index for proper actions, The spindle index from localization, On transversally elliptic operators and the quantization of manifolds with \(f\)-structure, Equivariant localization and holography, Differentiable stratified groupoids and a de Rham theorem for inertia spaces, On the index of nonlocal elliptic operators for compact Lie groups, Sasaki-Einstein manifolds and volume minimisation, ELLIPTIC GENERA, TORUS ORBIFOLDS AND MULTI-FANS, \(K\)-theory and the quantization commutes with reduction problem, On the index theorem for symplectic orbifolds., The index formula for the moduli of \(G\)-bundles on a curve, Dirac operators on non-compact orbifolds, Symplectic surgery and the Spin\(^c\)-Dirac operator, Orbifold index cobordism invariance, Momentum maps and reduction in algebraic geometry

Cites Work

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• Holomorphic Lefschetz fixed point formula