Volume 15, issue 2 (2015)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 17
Issue 6, 3213–3852
Issue 5, 2565–3212
Issue 4, 1917–2564
Issue 3, 1283–1916
Issue 2, 645–1281
Issue 1, 1–643

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Subscriptions
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Author Index
To Appear
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Cohomological non-rigidity of eight-dimensional complex projective towers

Shintarô Kuroki and Dong Youp Suh

Algebraic & Geometric Topology 15 (2015) 769–782
Abstract

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.

Keywords
complex projective bundles, cohomological rigidity problem, toric topology
Mathematical Subject Classification 2010
Primary: 57R22
Secondary: 57S25
References
Publication
Received: 30 November 2013
Revised: 25 July 2014
Accepted: 12 January 2015
Published: 22 April 2015
Authors
Shintarô Kuroki
Graduate School of Mathematical Sciences
University of Tokyo
3-8-1 Komaba Meguro-ku
Tokyo 153-8914
Japan
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