5 papers · 1 filter
Analysis on fibred cusp spaces
Daniel Grieser, Ãlvaro Sánchez-Hernández, Boris Vertman
We give a survey of analytic and geometric results on `fibred cusp spaces', a large class of non-compact Riemannian manifolds which include the regular parts of singular spaces wit…
Generalized Yamabe Flows
Jørgen Olsen Lye, Boris Vertman, Mannaim Gennaro Vitti
In this work we introduce a family of conformal flows generalizing the classical Yamabe flow. We prove that for a large class of such flows long-time existence holds, and the argum…
Stability of invariants on stratified spaces
Francesco Bei, Paolo Piazza, Boris Vertman
Let be a compact smoothly stratified pseudo-manifold endowed with a wedge metric . Let be a Galois -covering. Under additional assumptions o…
Cheeger-Müller theorem for a wedge singularity along an embedded submanifold
Luiz Hartmann, Boris Vertman
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-section…
Spectral geometry on manifolds with fibred boundary metrics I: Low energy resolvent
Daniel Grieser, Mohammad Talebi, Boris Vertman
We study the low energy resolvent of the Hodge Laplacian on a manifold equipped with a fibred boundary metric. We determine the precise asymptotic behavior of the resolvent as a fi…