English

Classification of Bott manifolds up to dimension eight

Algebraic Topology 2017-01-10 v1

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.

Keywords

Cite

@article{arxiv.1112.2321,
  title  = {Classification of Bott manifolds up to dimension eight},
  author = {Suyoung Choi},
  journal= {arXiv preprint arXiv:1112.2321},
  year   = {2017}
}