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.
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