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Classification of Bott Manifolds up to Dimension 8

Published online by Cambridge University Press:  10 December 2014

Suyoung Choi
Suyoung Choi*
Affiliation:
Department of Mathematics, Ajou University, San 5, Woncheondong, Yeongtonggu, Suwon 443-749, Republic of Korea (schoi@ajou.ac.kr)
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Abstract

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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

Bott towerBott manifoldcohomological rigiditystrong cohomological rigidityPrimary 57S25Secondary 22F30
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 58 , Issue 3 , October 2015 , pp. 653 - 659
Copyright
Copyright © Edinburgh Mathematical Society 2015 

References

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