On the anomaly terms in Cheeger-Müller theorem on spaces with conical singularities

preprint2022arXivOpen access

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.

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