Marco Moraschini

Minimal volume entropy of mapping tori over 3-manifolds

Abstract We prove that the minimal volume entropy of mapping tori over oriented closed smooth 3-manifolds vanishes. Our approach uses a variation of the amenable category and a suitable version of the minimal volume entropy of a homology class introduced by Babenko and Sabourau.

The algebraic cheap rebuilding property

We present an axiomatic approach to combination theorems for various homological properties of groups and, more generally, of chain complexes. Examples of such properties include algebraic finiteness properties, ℓ 2 \ell ^2 -invisibility, ℓ 2 \ell ^2 -acyclicity, lower bounds for...