Geodesic
On the classification of quasitoric manifolds over dual cyclic polytopes
Hasui, Sho1
1Department of Mathematics, Faculty of Science, Kyoto University, Sakyo-ku, Kyoto 606-8502, Japan
Algebraic and Geometric Topology, Tome 15 (2015) no. 3, pp. 1387-1437
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For a simple n–polytope P, a quasitoric manifold over P is a 2n–dimensional smooth manifold with a locally standard action of an n–dimensional torus for which the orbit space is identified with P. This paper acheives the topological classification of quasitoric manifolds over the dual cyclic polytope Cn(m)∗ when n > 3 or m − n = 3. Additionally, we classify small covers, the “real version” of quasitoric manifolds, over all dual cyclic polytopes.

DOI : 10.2140/agt.2015.15.1387
Classification : 57R19, 57S25
Keywords: toric topology, quasitoric manifolds, cohomological rigidity

Hasui, Sho  1

1 Department of Mathematics, Faculty of Science, Kyoto University, Sakyo-ku, Kyoto 606-8502, Japan 
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Hasui, Sho. On the classification of quasitoric manifolds over dual cyclic polytopes. Algebraic and Geometric Topology, Tome 15 (2015) no. 3, pp. 1387-1437. doi: 10.2140/agt.2015.15.1387

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