2 citations · 3 across the 9 of their papers we have counts for
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Simplicial volume of open books in dimension 4
Thorben Kastenholz
In this short note we adapt a proof by Bucher and Neofytidis to prove that the simplicial volume of 4-manifolds admitting an open book decomposition vanishes. In particular this sh…
The minimal genus problem for right angled Artin groups
Rachael Boyd, Thorben Kastenholz, Jean Pierre Mutanguha
We investigate the minimal genus problem for the second homology of a right angled Artin group (RAAG). Firstly, we present a lower bound for the minimal genus of a second homology…
Simplicial volume and essentiality of manifolds fibered over spheres
Thorben Kastenholz, Jens Reinhold
We study the question when a manifold that fibers over a sphere can be rationally essential, or even have positive simplicial volume. More concretely, we show that mapping tori of…
The Minimal Genus of Homology Classes in a Finite 2-Complex
Thorben Kastenholz, Mark Pedron
We study surface representatives of homology classes of finite complexes which minimize certain complexity measures, including its genus and Euler characteristic. Our main result i…
Exponential Torsion Growth for Random 3-Manifolds
Hyungryul Baik, David Bauer, Ilya Gekhtman +5
We show that a random 3-manifold with positive first Betti number admits a tower of cyclic covers with exponential torsion growth.