A new proof of the local regularity of the eta invariant of a Dirac operator

Abstract

In this paper we give a new proof of Bismut-Freed's result on the local regularity of the eta invariant of a Dirac operator in odd dimension.

v5: final version. To appear in J. Geom. Phys., 11 pages

References in corpus (2)

• Spectral boundary conditions for generalizations of Laplace and Dirac operators
• A new short proof of the local index formula and some of its applications

Cited by in corpus (1)

• Volterra calculus, local equivariant family index theorem and equivariant eta forms