Cohomological non-rigidity of eight-dimensional complex projective towers

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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.
Publisher
GEOMETRY & TOPOLOGY PUBLICATIONS
Issue Date
2015
Language
English
Article Type
Article
Citation

ALGEBRAIC AND GEOMETRIC TOPOLOGY, v.15, no.2, pp.769 - 782

ISSN
1472-2739
DOI
10.2140/agt.2015.15.769
URI
http://hdl.handle.net/10203/198830
Appears in Collection
MA-Journal Papers(저널논문)
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