On the anomaly terms in Cheeger-M\"uller theorem on spaces with conical singularities

Luiz Hartmann; Mauro Spreafico

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arXiv · 2209.06663

On the anomaly terms in Cheeger-M\"uller theorem on spaces with conical singularities

Luiz Hartmann·Mauro Spreafico

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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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Luiz Hartmann, Mauro Spreafico. 2022-09-14. On the anomaly terms in Cheeger-M\"uller theorem on spaces with conical singularities. https://arxiv.org/abs/2209.06663

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