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Strong Cohomological rigidity of Bott manifolds

Algebraic Topology 2022-02-23 v1

Abstract

We show that the strong cohomological rigidity conjecture for Bott manifolds is true. Namely, any graded cohomology ring isomorphism between two Bott manifolds is induced by a diffeomorphism.

Keywords

Cite

@article{arxiv.2202.10920,
  title  = {Strong Cohomological rigidity of Bott manifolds},
  author = {Suyoung Choi and Taekgyu Hwang and Hyeontae Jang},
  journal= {arXiv preprint arXiv:2202.10920},
  year   = {2022}
}

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11 pages