Hyperbolic 3-manifolds with infinitely generated fundamental groups

Hyperbolic 3-manifolds with infinitely generated fundamental groups

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Tommaso Cremaschi, Boston College
Fine Hall 314

I will give an example of an open 3-manifold M that is locally hyperbolic, π_1(M) has no divisible subgroup, but M is not itself hyperbolic. This example answers a question of Agol. Moreover, I will use it to illustrate a result on hyperbolization for a particular class of open 3-manifolds