Classification of Bott Manifolds up to Dimension 8

DOI10.1017/S0013091514000121zbMath1326.57055arXiv1112.2321MaRDI QIDQ2949789

Suyoung Choi

Publication date: 2 October 2015

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.2321

zbMATH Keywords

Bott manifoldBott towercohomological rigidity

Mathematics Subject Classification ID

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

Related Items

Cohomological rigidity for toric Fano manifolds of small dimensions or large Picard numbers, Flag Bott manifolds and the toric closure of a generic orbit associated to a generalized Bott manifold, Classification of Bott towers by matrix, The homotopy classification of four-dimensional toric orbifolds, Classification of rationally elliptic toric orbifolds, Cohomological rigidity for Fano Bott manifolds, The Kähler geometry of Bott manifolds, Cohomological rigidity of manifolds defined by 3-dimensional polytopes, Strong cohomological rigidity of Hirzebruch surface bundles in Bott towers, Toric varieties of Schröder type, Cohomological non-rigidity of eight-dimensional complex projective towers, Invariance of Pontrjagin classes for Bott manifolds

Cites Work

• Classification of \(\mathbb{Q}\)-trivial Bott manifolds
• Rigidity problems in toric topology: a survey
• Über eine Klasse von einfach-zusammenhängenden komplexen Mannigfaltigkeiten. (On a class of simply connected complex manifolds)
• Characteristic Classes and Homogeneous Spaces, I