Geodesic
On the cohomology equivalences between bundle-type quasitoric manifolds over a cube
Hasui, Sho1
1Department of Mathematics, Faculty of Science, Kyoto University, Kitashirakawa Oiwake-cho, Sakyo-ku Kyoto 606-8502, Japan
Algebraic and Geometric Topology, Tome 17 (2017) no. 1, pp. 25-64
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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) (ℂP2 # ℂP2)–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.

DOI : 10.2140/agt.2017.17.25
Classification : 57R19, 57S25
Keywords: quasitoric manifold, toric topology

Hasui, Sho  1

1 Department of Mathematics, Faculty of Science, Kyoto University, Kitashirakawa Oiwake-cho, Sakyo-ku Kyoto 606-8502, Japan 
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Hasui, Sho. On the cohomology equivalences between bundle-type quasitoric manifolds over a cube. Algebraic and Geometric Topology, Tome 17 (2017) no. 1, pp. 25-64. doi: 10.2140/agt.2017.17.25

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