Geodesic
Cohomological non-rigidity of eight-dimensional complex projective towers
Kuroki, Shintarô1 ; Suh, Dong Youp2
1Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba Meguro-ku, Tokyo 153-8914, Japan
2Department of Mathematical Sciences, KAIST, 335 Gwahangno, Yuseong Gu, Daejeon 305-701, South Korea
Algebraic and Geometric Topology, Tome 15 (2015) no. 2, pp. 769-782
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A complex projective tower, or simply ℂP tower, is an iterated complex projective fibration starting from a point. In this paper, we classify a certain class of 8–dimensional ℂP towers up to diffeomorphism. As a consequence, we show that cohomological rigidity is not satisfied by the collection of 8–dimensional ℂP towers: there are two distinct 8–dimensional ℂP towers that have the same cohomology rings.

DOI : 10.2140/agt.2015.15.769
Classification : 57R22, 57S25
Keywords: complex projective bundles, cohomological rigidity problem, toric topology

Kuroki, Shintarô  1   ; Suh, Dong Youp  2

1 Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba Meguro-ku, Tokyo 153-8914, Japan
2 Department of Mathematical Sciences, KAIST, 335 Gwahangno, Yuseong Gu, Daejeon 305-701, South Korea 
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Kuroki, Shintarô; Suh, Dong Youp. Cohomological non-rigidity of eight-dimensional complex projective towers. Algebraic and Geometric Topology, Tome 15 (2015) no. 2, pp. 769-782. doi: 10.2140/agt.2015.15.769

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