27 citations · 142 across the 17 of their papers we have counts for
3 papers · 1 filter
A Cheeger-Müller theorem for manifolds with wedge singularities
Pierre Albin, Frédéric Rochon, David Sher
We study the spectrum and heat kernel of the Hodge Laplacian with coefficients in a flat bundle on a closed manifold degenerating to a manifold with wedge singularities. Provided t…
Analytic torsion and R-torsion of Witt representations on manifolds with cusps
Pierre Albin, Frédéric Rochon, David Sher
We establish a Cheeger-Muller theorem for unimodular representations satisfying a Witt condition on a noncompact manifold with cusps. This class of spaces includes all non-compact…
Resolvent, heat kernel and torsion under degeneration to fibered cusps
Pierre Albin, Frédéric Rochon, David Sher
Manifolds with fibered cusps are a class of complete noncompact Riemannian manifolds including all locally symmetric spaces of rank one. We study the spectrum of the Hodge Laplacia…