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Cohomological
non-rigidity of eight-dimensional complex projective
towers
Shintarô Kuroki and Dong Youp Suh |
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Algebraic & Geometric Topology 15 (2015) 769–782
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Abstract |
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A complex projective tower, or simply tower, is an iterated complex projective fibration starting from a point. In this paper, we classify a certain class of –dimensional towers up to diffeomorphism. As a consequence, we show that cohomological rigidity is not satisfied by the collection of –dimensional towers: there are two distinct –dimensional towers that have the same cohomology rings. |
Keywords
complex projective bundles, cohomological rigidity problem,
toric topology
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Mathematical Subject Classification 2010
Primary: 57R22
Secondary: 57S25
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References |
Publication
Received: 30 November 2013
Revised: 25 July 2014
Accepted: 12 January 2015
Published: 22 April 2015
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Authors |
| Shintarô Kuroki | |
| Graduate School of Mathematical
Sciences University of Tokyo 3-8-1 Komaba Meguro-ku Tokyo 153-8914 Japan |
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| http://www.ms.u-tokyo.ac.jp/~kuroki/ | |
| Dong Youp Suh | |
| Department of Mathematical
Sciences KAIST 335 Gwahangno, Yuseong Gu Daejeon 305-701 South Korea |
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