The boundary term from the Analytic Torsion of a cone over a $m$-dimensional sphere

TL;DR

This paper provides a direct proof that the anomaly boundary term associated with the analytic torsion extends to cones over m-dimensional spheres, broadening the understanding of boundary contributions in geometric analysis.

Contribution

It offers a direct proof demonstrating the generalization of the anomaly boundary term to cones over m-dimensional spheres, expanding previous results.

Findings

The anomaly boundary term applies to cones over spheres of any dimension.

The proof confirms the generalization of boundary contributions in analytic torsion.

The result enhances the theoretical framework for geometric analysis on singular spaces.

Abstract

We present a direct proof that the Anomaly Boundary term of J. Br\"unning and X. Ma generalizes to the cases of the cone over a $m$-dimensional sphere.