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Witten Non Abelian Localization for Equivariant K-Theory, and the 𝑄,𝑅=0 Theorem
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Witten Non Abelian Localization for Equivariant K-Theory, and the 𝑄,𝑅=0 Theorem
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Witten Non Abelian Localization for Equivariant K-Theory, and the 𝑄,𝑅=0 Theorem
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eBook
Witten Non Abelian Localization for Equivariant K-Theory, and the 𝑄,𝑅=0 Theorem
2019
Overview
The purpose of the present memoir is two-fold. First, we obtain a non-abelian localization theorem when M is any even dimensional
compact manifold : following an idea of E. Witten, we deform an elliptic symbol associated to a Clifford bundle on M with a vector field
associated to a moment map. Second, we use this general approach to reprove the [Q,R] = 0 theorem of Meinrenken-Sjamaar in the
Hamiltonian case, and we obtain mild generalizations to almost complex manifolds. This non-abelian localization theorem can be used to
obtain a geometric description of the multiplicities of the index of general
Publisher
American Mathematical Society
Subject
ISBN
9781470435226, 1470435225
