Homotopy fibrations with a section after looping: highly connected Poincare Duality complexes
Speaker:
Stephen Theriault, University of Southampton
Date and Time:
Monday, June 8, 2020 - 10:30am to 11:10am
Location:
Online
Abstract:
The talk will present a framework for determining the homotopy type of the based loops on certain spaces. The methods will be applied to analyze the based loops on (n-1)-connected 2n-dimensional Poincare Duality complexes, and the based loops on (n-1)-connected (2n+1)-dimensional Poincare Duality complexes. (A Poincare Duality complex is a CW-complex whose cohomology satisfies Poincare Duality.)