Algebraic & Geometric Topology

Cohomological non-rigidity of eight-dimensional complex projective towers

Shintarô Kuroki and Dong Youp Suh

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A complex projective tower, or simply P tower, is an iterated complex projective fibration starting from a point. In this paper, we classify a certain class of 8–dimensional P towers up to diffeomorphism. As a consequence, we show that cohomological rigidity is not satisfied by the collection of 8–dimensional P towers: there are two distinct 8–dimensional P towers that have the same cohomology rings.

Article information

Algebr. Geom. Topol., Volume 15, Number 2 (2015), 769-782.

Received: 30 November 2013
Revised: 25 July 2014
Accepted: 12 January 2015
First available in Project Euclid: 28 November 2017

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 57R22: Topology of vector bundles and fiber bundles [See also 55Rxx]
Secondary: 57S25: Groups acting on specific manifolds

complex projective bundles cohomological rigidity problem toric topology


Kuroki, Shintarô; Suh, Dong Youp. Cohomological non-rigidity of eight-dimensional complex projective towers. Algebr. Geom. Topol. 15 (2015), no. 2, 769--782. doi:10.2140/agt.2015.15.769.

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