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Thick hyperbolic 3-manifold whose fundamental group is generated by 3 elements

Geometry/Topology

Speaker: Juan Souto, University of Chicago
Location: 2112 MSB
Start time: Wed, Mar 7 2007, 4:10PM

I will discuss the structure of those hyperbolic 3-manifolds with a lower bound of the injectivity radius and whose fundamental group is generated by 3 elements. As a consequence, we prove that the Heegaard genus of such a 3-manifold is bounded from above by a function of the injectivity radius.