Witten non Abelian localization for equivariant K-theory, and the [Q, R] = 0 theorem /

Witten non Abelian localization for equivariant K-theory, and the [Q, R] = 0 theorem /

The purpose of the present memoir is two-fold. First, the authors obtain a non-abelian localization theorem when M is any even dimensional compact manifold : following an idea of E. Witten, the authors deform an elliptic symbol associated to a Clifford bundle on M with a vector field associated to a...

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Bibliographic Details
Main Authors: Paradan, Paul-Emile (Author), Vergne, Michèle (Author), Vergne, Michèle (Author)
Format: Book
Language:English
Published: Providence : American Mathematical Society, 2019
Providence : [2019]
Providence, RI : 2019
Series:Memoirs of the American Mathematical Society ; no. 1257
Memoirs of the American Mathematical Society ; no. 1257
Memoirs of the American Mathematical Society no. 1257
Subjects:
Geometric quantization
Index theory (Mathematics)
K-theory > ^A1031678
K-theory
Localization theory
Non-Abelian groups > ^A1043768
Non-Abelian groups
Symplectic geometry
$K$-theory [See also 16E20, 18F25] > $K$-theory and operator algebras [See mainly 46L80, and also 46M20] > Index theory [See also 58J20, 58J22]
Differential geometry {For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx} > Global differential geometry [See also 51H25, 58-XX; for related bund
Differential geometry {For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx} > Symplectic geometry, contact geometry [See also 37Jxx, 70Gxx, 70Hxx]
Global analysis, analysis on manifolds [See also 32Cxx, 32Fxx, 32Wxx, 46-XX, 47Hxx, 53Cxx] {For geometric integration theory, see 49Q15} > Partial differential equations on manifolds; differential op
Manifolds and cell complexes {For complex manifolds, see 32Qxx} > Topological transformation groups [See also 20F34, 22-XX, 37-XX, 54H15, 58D05] > Compact Lie groups of differentiable transformation

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