Analytic torsions for hyperbolic manifolds with cusps

Torsions of 3-manifolds

We give a brief survey of abelian torsions of 3-manifolds. AMS Classification 57M27; 57Q10

All at Manifolds Are Cusps of Hyperbolic Orbifolds

Similar Fillings and Isolation of Cusps of Hyperbolic 3-manifolds

In this paper we deepen the analysis of certain classes Mg,k of hyperbolic 3-manifolds that were introduced in a previous work by B. Martelli, C. Petronio and the author. Each element of Mg,k is an oriented complete finite-volume hyperbolic 3manifold with compact connected geodesic boundary of genus g and k cusps. We study small deformations of the complete hyperbolic structure of manifolds in ...

All flat manifolds are cusps of hyperbolic orbifolds

We show that all closed flat n-manifolds are diffeomorphic to a cusp cross-section in a finite volume hyperbolic n + 1-orbifold.

Ruelle zeta function and Prime geodesic theorem for hyperbolic manifolds with cusps

For a d-dimensional real hyperbolic manifold with cusps, we obtain more refined error terms in the prime geodesic theorem (PGT) using the Ruelle zeta function instead of the Selberg zeta function. To do this, we prove that the Ruelle zeta function over this type manifold is a meromorphic function of order d over C.