37 citations · 202 across the 36 of their papers we have counts for
39 papers
The Dirac operator on cusped hyperbolic manifolds
Bruno Martelli, Alan W. Reid
We study how the spin structures on finite-volume hyperbolic n-manifolds restrict to cusps. When a cusp cross-section is a (n-1)-torus, there are essentially two possible behaviour…
Hyperbolic groups containing subgroups of type not
Claudio Llosa Isenrich, Bruno Martelli, Pierre Py
We give examples of hyperbolic groups which contain subgroups that are of type but not of type . These groups are obtained by Dehn filling starti…
Hyperbolic 5-manifolds that fiber over
Giovanni Italiano, Bruno Martelli, Matteo Migliorini
We exhibit some finite-volume cusped hyperbolic 5-manifolds that fiber over the circle. These include the smallest hyperbolic 5-manifold known, discovered by Ratcliffe and Tschantz…
Hyperbolic manifolds that fiber algebraically up to dimension 8
Giovanni Italiano, Bruno Martelli, Matteo Migliorini
We construct some cusped finite-volume hyperbolic -manifolds that fiber algebraically in all the dimensions . That is, there is a surjective homomorphism $…
Hyperbolic 4-manifolds with perfect circle-valued Morse functions
Ludovico Battista, Bruno Martelli
We exhibit some (compact and cusped) finite-volume hyperbolic four-manifolds M with perfect circle-valued Morse functions, that is circle-valued Morse functions …
Convex plumbings in closed hyperbolic 4-manifolds
Bruno Martelli, Stefano Riolo, Leone Slavich
We show that every plumbing of disc bundles over surfaces whose genera satisfy a simple inequality may be embedded as a convex submanifold in some closed hyperbolic four-manifold.…