4 citations · 6 across the 8 of their papers we have counts for
8 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.
Combination of open covers with -constraints
Pietro Capovilla, Kevin Li, Clara Loeh
Let~ be a group and let~ be a family of subgroups of~. The generalised Lusternik--Schnirelmann category~ is the minimal cardin…
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…
A quadratic lower bound for the number of minimal geodesics
Bernd Ammann, Clara Loeh
A minimal geodesic on a Riemannian manifold is a geodesic defined on that lifts to a globally distance minimizing curve on the universal covering. Bangert proved that…
A roadmap to the (vanishing of the) Euler characteristic
Clara Loeh, George Raptis
We give a diagrammatic summary of the connections between various theorems and conjectures about the vanishing of the Euler characteristic.
Exponential growth rates in hyperbolic groups (after Koji Fujiwara and Zlil Sela)
Clara Loeh
A classical result of Jørgensen and Thurston shows that the set of volumes of finite volume complete hyperbolic -manifolds is a well-ordered subset of the real numbers of order…
Transcendental simplicial volumes
Nicolaus Heuer, Clara Loeh
We show that there exist closed manifolds with arbitrarily small transcendental simplicial volumes. Moreover, we exhibit an explicit uncountable family of (transcendental) real num…
On stability of non-domination under taking products
D. Kotschick, C. Loeh, C. Neofytidis
We show that non-domination results for targets that are not dominated by products are stable under Cartesian products.