Published on *Department of Mathematics* (https://math.yale.edu)

October 9, 2018 - 4:15pm

DL 431

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 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.