Equivariant spectral flow and a Lefschetz theorem on odd-dimensional spin manifolds

Hao Fang

Vol. 220 (2005), No. 2, 299–312

DOI: 10.2140/pjm.2005.220.299

Abstract

We present a heat kernel proof of an equivariant index theorem on odd-dimensional spin manifolds, stated for Toeplitz operators. A notion of equivariant spectral flow is raised and plays an important role in our proof.

Keywords

equivariant spectral flow, local index theorem

Mathematical Subject Classification 2000

Primary: 53C27, 35P05

Milestones

Received: 31 December 2001

Accepted: 26 March 2002

Published: 1 June 2005