On the anomaly terms in Cheeger-M\"uller theorem on spaces with conical singularities
Differential Geometry
2022-09-15 v1 Algebraic Topology
Spectral Theory
Abstract
We prove that the anomaly term appearing in the ratio between Reidemeister torsion and analytic torsion for a space with a conical singularity vanishes in the smooth case. Moreover, we show that such anomaly term is non trivial for the cone over a torus.
Keywords
Cite
@article{arxiv.2209.06663,
title = {On the anomaly terms in Cheeger-M\"uller theorem on spaces with conical singularities},
author = {Luiz Hartmann and Mauro Spreafico},
journal= {arXiv preprint arXiv:2209.06663},
year = {2022}
}