Residue-torsion and the Laplacian on Riemannian manifolds

Abstract

The Ray–Singer analytic torsion is the classical zeta-trace of a sum of logarithm operators of p-form Laplacians on the de Rham complex. In this article, we examine residue-analytic torsion, defined using the residue trace in place of the zeta function regularised trace.

Keywords:

• Analytic torsion
• Reidemeister torsion
• residue trace

Acknowledgements

The idea to look into residue torsion was originally suggested to the second author by Krzysztof Wojciechowski.