Cheeger-M\"uller theorem for a wedge singularity along an embedded submanifold
Differential Geometry
2024-09-02 v2 Algebraic Topology
Spectral Theory
Abstract
In this paper we equate the analytic and the intersection Reidemeister torsions on spaces with a specific type of wedge singularities, which arise by turning the disc cross-sections in the tubular neighborhood of an embedded submanifold of even co-dimension into cones. Our result is related to a similar equation, in a setting disjoint from ours, which was previously obtained by Albin, Rochon and Sher.
Cite
@article{arxiv.2304.09650,
title = {Cheeger-M\"uller theorem for a wedge singularity along an embedded submanifold},
author = {Luiz Hartmann and Boris Vertman},
journal= {arXiv preprint arXiv:2304.09650},
year = {2024}
}