Properties of Bott manifolds and cohomological rigidity

DOI10.2140/agt.2011.11.1053zbMath1238.57032arXiv0912.3054OpenAlexW3103572594MaRDI QIDQ2431286

Suyoung Choi, Dong Youp Suh

Publication date: 12 April 2011

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.3054

zbMATH Keywords

twist numberquasitoric manifoldtoric manifoldBott towercohomological rigiditycohomological complexityone-twisted Bott tower

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Homogeneous spaces (22F30)

Related Items

Classification of Bott towers by matrix ⋮ On Mori cone of Bott towers ⋮ Classification of rationally elliptic toric orbifolds ⋮ Classification of real Bott manifolds and acyclic digraphs ⋮ The Kähler geometry of Bott manifolds ⋮ Rigidity problems in toric topology: a survey ⋮ Artin-Schreier root stacks ⋮ Invariance of Pontrjagin classes for Bott manifolds

Cites Work

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• Cohomological non-rigidity of generalized real Bott manifolds of height 2
• Convex polytopes, Coxeter orbifolds and torus actions
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• Cohomological rigidity of real Bott manifolds
• Bott towers, complete integrability, and the extended character of representations
• Classification problems in differential topology. V: On certain 6- manifolds
• Classification of real Bott manifolds and acyclic digraphs
• Toric cohomological rigidity of simple convex polytopes
• Semifree circle actions, Bott towers and quasitoric manifolds
• Topological classification of generalized Bott towers

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