Topology Seminar

Homotopy types of 4-dimensional toric orbifolds and cohomological rigidity

Tseleung So, University of Regina

Friday, October 9th, 2020
2:00 PM - 3:00 PM
Zoom ID 677 596 7436

In 2006 Masuda and Suh proposed the cohomological rigidity problem: can (quasi)toric manifolds be classified, up to homeomorphism, by their integral cohomology rings? While no one can find a counter-example, many results supporting an affirmative solution to the problem have appeared.

A toric orbifold is a generalized notion of a (quasi)toric manifold. In this project we consider the cohomological rigidity problem with respect to classification of 4-dimensional toric orbifolds up to homotopy. We showed this is true if there is no 2-torsion in homology. In this talk, I will talk about a decomposition of 4-dimensional toric orbifolds and the cohomological rigidity problem.

This is joint work with Xin Fu (Ajou University) and Jongbaek Song (KIAS).

Event contact: steven dot amelotte at rochester dot edu