16 citations · 31 across the 4 of their papers we have counts for
5 papers · 1 filter
Stable integral simplicial volume of 3-manifolds
Daniel Fauser, Clara Loeh, Marco Moraschini +1
We show that non-elliptic prime 3-manifolds satisfy integral approximation for the simplicial volume, i.e., that their simplicial volume equals the stable integral simplicial volum…
Integral approximation of simplicial volume of graph manifolds
Daniel Fauser, Stefan Friedl, Clara Loeh
Graph manifolds are manifolds that decompose along tori into pieces with a tame -structure. In this paper, we prove that the simplicial volume of graph manifolds (which is kno…
Integral foliated simplicial volume and -actions
Daniel Fauser
The simplicial volume of oriented closed connected smooth manifolds that admit a non-trivial smooth -action vanishes. In the present work we prove a version of this result for…
Variations on the theme of the uniform boundary condition
Daniel Fauser, Clara Loeh
The uniform boundary condition in a normed chain complex asks for a uniform linear bound on fillings of null-homologous cycles. For the -norm on the singular chain complex,…
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…