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Prescribed virtual homological torsion of 3-manifolds

Published 8 Oct 2020 in math.GT and math.GR | (2010.04271v1)

Abstract: We prove that given any finite abelian group $A$ and any irreducible $3$-manifold $M$ with empty or toroidal boundary which is not a graph manifold there exists a finite cover $M' \to M$ so that $A$ is a direct factor in $H_1(M',\mathbb{Z})$. This generalizes results of Sun and of Friedl-Herrmann.

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Authors (2)

  1. Michelle Chu 
  2. Daniel Groves 

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