1 citations · 1 across the 5 of their papers we have counts for
5 papers
The cheap embedding principle: Dynamical upper bounds for homology growth
Kevin Li, Clara Loeh, Marco Moraschini +2
We provide upper bounds for logarithmic torsion homology growth and Betti number growth of groups, phrased in the language of measured group theory.
Algorithms in 4-manifold topology
Stefan Bastl, Rhuaidi Burke, Rima Chatterjee +28
We show that there exists an algorithm that takes as input two closed, simply connected, topological 4-manifolds and decides whether or not these 4-manifolds are homeomorphic. In p…
The algebraic cheap rebuilding property
Kevin Li, Clara Loeh, Marco Moraschini +2
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 a…
Torsion homology growth and cheap rebuilding of inner-amenable groups
Matthias Uschold
We prove that virtually torsion-free, residually finite groups that are inner-amenable and non-amenable have the cheap 1-rebuilding property, a notion recently introduced by Abért,…
-Betti numbers and computability of reals
Clara Loeh, Matthias Uschold
We study the computability degree of real numbers arising as -Betti numbers or -torsion of groups, parametrised over the Turing degree of the word problem.