Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 15, Number 2 (2015), 769-782.
Cohomological non-rigidity of eight-dimensional complex projective towers
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.
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
Permanent link to this document
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
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. https://projecteuclid.org/euclid.agt/1511895788