Classification of Bott manifolds up to dimension eight

Abstract

We show that three- and four-stage Bott manifolds are classified up to diffeomorphism by their integral cohomology rings. In addition, any cohomology ring isomorphism between two three-stage Bott manifolds can be realized by a diffeomorphism between the Bott manifolds.

References in corpus (3)

• Classification of Q-trivial Bott manifolds
• (Filtered) cohomological rigidity of Bott towers
• Rigidity problems in toric topology, a survey