Algebraic & Geometric Topology

On the cohomology equivalences between bundle-type quasitoric manifolds over a cube

Sho Hasui

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The aim of this article is to establish the notion of bundle-type quasitoric manifolds and provide two classification results on them: (i) (P2 # P2)–bundle type quasitoric manifolds are weakly equivariantly homeomorphic if their cohomology rings are isomorphic, and (ii) quasitoric manifolds over I3 are homeomorphic if their cohomology rings are isomorphic. In the latter case, there are only four quasitoric manifolds up to weakly equivariant homeomorphism which are not bundle-type.

Article information

Algebr. Geom. Topol., Volume 17, Number 1 (2017), 25-64.

Received: 3 December 2014
Revised: 27 February 2016
Accepted: 9 July 2016
First available in Project Euclid: 16 November 2017

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 57R19: Algebraic topology on manifolds 57S25: Groups acting on specific manifolds

quasitoric manifold toric topology


Hasui, Sho. On the cohomology equivalences between bundle-type quasitoric manifolds over a cube. Algebr. Geom. Topol. 17 (2017), no. 1, 25--64. doi:10.2140/agt.2017.17.25.

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