Branched covers of spheres I

Geometry Topology Student Seminar
Wednesday, March 29, 2017 - 14:05
1 hour (actually 50 minutes)
Skiles 006
Georgia Tech
In this series of talks we will show that every closed oriented three manifold is a branched cover over the three sphere, with some additional properties. In the first talk we will discuss some examples of branched coverings of surfaces and three manifolds, and a classical result of Alexander, which states that any closed oriented combinatorial manifold is always a branched cover over the sphere.