Filtered cohomological rigidity of Bott towers

zbMath1250.57041arXiv1006.4932MaRDI QIDQ436059

Hiroaki Ishida

Publication date: 28 July 2012

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.4932

zbMATH Keywords

toric manifoldBott manifoldBott towercohomological rigidity

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Characteristic classes and numbers in differential topology (57R20) Algebraic topology on manifolds and differential topology (57R19)

Related Items (7)

Flag Bott manifolds and the toric closure of a generic orbit associated to a generalized Bott manifold ⋮ Classification of Bott towers by matrix ⋮ On Mori cone of Bott towers ⋮ The Kähler geometry of Bott manifolds ⋮ Strong cohomological rigidity of Hirzebruch surface bundles in Bott towers ⋮ Rigidity problems in toric topology: a survey ⋮ Invariance of Pontrjagin classes for Bott manifolds

Cites Work

• Classification of \(\mathbb{Q}\)-trivial Bott manifolds
• Topological classification of generalized Bott towers

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