5 problems

A Bott tower of height $n$ is an iterated $\mathbb C P^1$-bundle whose stages are Bott manifolds; each Bott manifold is a closed manifold of dimension $2n$. Strong cohomological ri…

Let $M_{2m+1}$ be the projectivization … and let $\Omega_r$ be the admissible Kähler class determined by … where $0<r_+<1$ and $-1<r_-<0$. Define … … … … An admissible constant-sca…

Let $X(A)$ and $X(A')$ be Bott manifolds of complex dimension $n$. Their integral cohomology rings are graded rings of the form $H^*(X(A))$ and $H^*(X(A'))$. Bott manifold cohomolo…

Strong cohomological rigidity conjecture for Bott manifolds. Any graded ring isomorphism between the cohomology rings (with integer coefficients) of two Bott manifolds is induced f…

Let $B$ and $B'$ be Bott manifolds, and let … be a cohomology ring isomorphism. Strong cohomological rigidity conjecture for Bott manifolds. There is a diffeomorphism…