Intersection Spaces, Equivariant Moore approximation, and the Duality Obstruction
Speaker:
Bryce Chriestenson, Western Oregon University
Date and Time:
Monday, August 22, 2016 - 2:30pm to 3:30pm
Location:
Fields Institute, Stewart Library
Abstract:
The method of intersection spaces, due to M. Banagl, associates to a certain class of stratified pseudomanifold an intersection space whose reduced singular cohomology satisfies Poincare duality. In this talk I will explain how this assignment works, and show how to use the notion of an equivariant Moore approximation to generalize this construction. This generalization gives rise to a duality obstruction. When this obstruction vanishes the reduced cohomology of the resulting intersection space will satisfy Poincare duality. Time permitting I will provide a class of examples for which this obstruction vanishes.
Coauthor: Markus Banagl