Tommaso Cremaschi
Published 2017-11-30Version 1
We construct a locally hyperbolic 3-manifold $M_\infty$ such that $\pi_ 1(M_\infty)$ has no divisible subgroup. We then show that $M_\infty$ is not homeomorphic to any complete hyperbolic manifold. This answers a question of Agol [DHM06,Mar07].
Comments: 11 pages, 5 figures
A locally hyperbolic 3-manifold that is not homotopy equivalent to any hyperbolic 3-manifold
The space of immersed polygons
$n$-knots in $S^n\times S^2$ and contractible $(n+3)$-manifolds
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