# Virtual Homological Torsion of Closed Hyperbolic 3-manifolds

@article{Sun2013VirtualHT, title={Virtual Homological Torsion of Closed Hyperbolic 3-manifolds}, author={Hongbin Sun}, journal={arXiv: Geometric Topology}, year={2013} }

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…

## 18 Citations

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