Gerrit Herrmann

activity

20162018

most citedTorsion in the homology of finite covers of 3-manifolds

2 citations · 2 across the 1 of their papers we have counts for

collaborators

3 papers

math.GT2018

Sutured manifolds and $L^{2}$ -Betti numbers

Gerrit Herrmann

Using the virtual fibering theorem of Agol we show that a sutured 3-manifold $(M, R_{+}, R_{-}, γ)$ is taut if and only if the $ℓ^{2}$ -Betti numbers of the pair $(M, R_{-})$ are zero. As a…

math.GT2017★ 2 cited

Torsion in the homology of finite covers of 3-manifolds

Stefan Friedl, Gerrit Herrmann

Let $N$ be a prime 3-manifold that is not a closed graph manifold. Building on a result of Hongbin Sun and using a result of Asaf Hadari we show that for every $k \in N$ there…

math.GT2016

The $L^{2}$ -Alexander torsion for Seifert fiber spaces

Gerrit Herrmann

We calculate the $L^{2}$ -Alexander torsion for Seifert fiber spaces and graph manifolds in terms of the Thurston norm.

Sutured manifolds and L2-Betti numbers

Torsion in the homology of finite covers of 3-manifolds

The L2-Alexander torsion for Seifert fiber spaces

Sutured manifolds and $L^{2}$ -Betti numbers

The $L^{2}$ -Alexander torsion for Seifert fiber spaces