The Greiner's approach to heat kernel asymptotics and the variation formulas for the equivariant Ray-Singer metric

Abstract

In this paper, using the Greiner's approach to heat kernel asymptotics, we give new proofs of the equivariant Gauss-Bonnet-Chern formula and the variation formulas for the equivariant Ray-Singer metric, which are originally due to J. M. Bismut and W. Zhang.

arXiv admin note: text overlap with arXiv:1210.2032, arXiv:math/0211333 by other authors

References in corpus (3)

• Noncommutative geometry, conformal geometry, and the local equivariant index theorem
• Volterra calculus, local equivariant family index theorem and equivariant eta forms
• Noncommutative Geometry and Conformal Geometry. II. Connes-Chern character and the local equivariant index theorem