Notre Dame Pre-Talbot Seminar
February 9
Stacy Hoehn
University of Notre Dame
"Surgery on Simply-Connected Manifolds"

Abstract:
In general, a simply-connected finite CW complex need not be homotopy equivalent to a smooth manifold. The obstruction to this occurring, called the surgery obstruction, is an element of a certain L-group. We will discuss basics of surgery below and at the middle dimension, L-groups, the surgery obstruction, and the surgery exact sequence.