Classification of Bott manifolds up to dimension eight

Details Classification of Bott manifolds up to dimension eight Classification of Bott manifolds up to dimension eight

2011-12-11

arxiv.org/abs/1112.2321v1

Mathematics

Algebraic Topology

Scientific paper

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.

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