most citedThe Minimal Genus of Homology Classes in a Finite 2-Complex

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

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2 papers

math.GT2020★ 2 cited

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…

math.GT2016

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.