Cheeger-M\"uller theorem for a wedge singularity along an embedded submanifold

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.