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- W1520262593 abstract "In this paper, we will use Kahn-Markovic's almost totally geodesic surfaces to construct certain $pi_1$-injective 2-complexes in closed hyperbolic 3-manifolds. Such 2-complexes are locally almost totally geodesic except along a 1-dimensional subcomplex. Using Agol and Wise's result that fundamental groups of hyperbolic 3-manifolds are LERF and quasi-convex subgroups are virtual retract, we will show that closed hyperbolic 3-manifolds virtually contain any prescribed homological torsion: For any finite abelian group $A$, and any closed hyperbolic 3-manifold $M$, there exists a finite cover $N$ of $M$, such that $A$ is a direct summand of $Tor(H_1(N;mathbb{Z}))$." @default.
- W1520262593 created "2016-06-24" @default.
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- W1520262593 date "2013-09-05" @default.
- W1520262593 modified "2023-10-18" @default.
- W1520262593 title "Virtual Homological Torsion of Closed Hyperbolic 3-manifolds" @default.
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- W1520262593 doi "https://doi.org/10.48550/arxiv.1309.1511" @default.
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