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Crossing geodesics in alternating links


Speaker: Anastasiia Tsvietkova
Location: 2112 MSB
Start time: Tue, Jun 2 2015, 3:10PM

In 1995, Adams, Sakuma and Weeks started geometric study of cusp-to-cusp arcs in hyperbolic 3-manfolds. Given an alternating link diagram, we obtain sufficient conditions for such an arc at every crossing to be isotopic to a simple geodesic. We provide infinite families of closed braids for which this holds.