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

Paul-Emile Paradan (Autor)

eBook Download: PDF

2019
71 Seiten
American Mathematical Society (Verlag)
9781470453978 (ISBN)

Infos

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 moment map. Second, the authors use this general approach to reprove the $[Q,R] = 0$ theorem of Meinrenken-Sjamaar in the Hamiltonian case and 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 $spin^c$ Dirac operators.

Produkt-Details

• Erscheint lt. Verlag: 12.2.2019
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Naturwissenschaften ► Physik / Astronomie
• ISBN-13: 9781470453978 / 9781470453978