Strong cohomological rigidity of Hirzebruch surface bundles in Bott towers

-
Hiroaki Ishida, Kagoshima University

Online Talk

Zoom link: https://princeton.zoom.us/j/92116764865

Passcode: 114700

A Bott tower is an iterated $\mathbb{P}^1$-bundle such that each fibration is the projectivization of a decomposable complex vector bundle of rank $2$. Manifolds appearing in a Bott tower are called Bott manifolds. By composing fibrations, we have a Hirzebruch surface bundle over a Bott manifold.

I will talk about the strong cohomological rigidity of Hirzebruch surface bundles over Bott manifolds.