Mathematics Colloquia and Seminars

Return to Colloquia & Seminar listing

Crossing geodesics in alternating links

Geometry/Topology

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.