Witten Non Abelian Localization for Equivariant K-theory, and the $[ Q,R]=0$ Theorem [Mīkstie vāki]

Paradan and Vergne have two goals here. The first is to obtain a non-abelian localization theorem when M is any even dimensional compact manifold: following an idea of E. Witten, they deform an elliptic symbol associated to a Clifford bundle on M with a vector field associated to a moment map. Their second goal is to use this general approach the reprove the [ Q,R] = 0 theorem of Meinrenken-Sjamaar in the Hamiltonian case, and they 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 spinc Dirac operators. Annotation ©2020 Ringgold, Inc., Portland, OR (protoview.com)