3 citations · 5 across the 5 of their papers we have counts for
5 papers
A note on -adic simplicial volumes
Steffen Kionke, Clara Loeh
We define and study generalizations of simplicial volume over arbitrary seminormed rings with a focus on -adic simplicial volumes. We investigate the dependence on the prime and…
Exotic finite functorial semi-norms on singular homology
Daniel Fauser, Clara Loeh
Functorial semi-norms on singular homology give refined "size" information on singular homology classes. A fundamental example is the l^1-semi-norm. We show that there exist finite…
Integral Foliated Simplicial Volume of Aspherical Manifolds
Roberto Frigerio, Clara Loeh, Cristina Pagliantini +1
We consider the relation between simplicial volume and two of its variants: the stable integral simplicial volume and the integral foliated simplicial volume. The definition of the…
Isomorphisms in l^1-homology
Clara Loeh
Taking the l^1-completion and the topological dual of the singular chain complex gives rise to l^1-homology and bounded cohomology respectively. In contrast to l^1-homology, major…
Measure homology and singular homology are isometrically isomorphic
Clara Loeh
Measure homology is a variation of singular homology designed by Thurston in his discussion of simplicial volume. Zastrow and Hansen showed independently that singular homology (wi…