Lifting Covers to Braided Embeddings

Series
Geometry Topology Student Seminar
Time
Wednesday, February 19, 2020 - 2:00pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Sudipta Kolay – Georgia Tech
Organizer
Hongyi Zhou

An embedding of a manifold into a trivial disc bundle over another manifold is called braided if projection onto the first factor gives a branched cover. This notion generalizes closed braids in the solid torus, and gives an explicit way to construct many embeddings in higher dimensions. In this talk, we will discuss when a covering map of surfaces lift to a braided embedding.