|
Organizers |
Lifting branched covers to braided embeddings
by
Sudipta Kolay
Georgia Tech
An embedding of a manifold M^k in a trivial disc bundle over N^k 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. One could ask which branched covers lift to braided embeddings. This question has been well studied for honest covering maps by Hansen and Petersen. In this talk, we will discuss this question for branched covers over low dimensional spheres.
Date received: April 5, 2018
Copyright © 2018 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cboy-16.