Cohomological non-rigidity of generalized real Bott manifolds of height 2

DOI10.1134/S0081543810010165zbMath1210.57033arXiv0809.2215MaRDI QIDQ600723

Mikiya Masuda

Publication date: 1 November 2010

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.2215

zbMATH Keywords

toric manifoldBott manifoldcohomological rigidityflat Riemannian manifold

Mathematics Subject Classification ID

Equivariant algebraic topology of manifolds (57R91) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items (10)

Projective bundles over small covers and the bundle triviality problem ⋮ Cohomological rigidity of manifolds defined by 3-dimensional polytopes ⋮ Cohomological rigidity and the number of homeomorphism types for small covers over prisms ⋮ Properties of Bott manifolds and cohomological rigidity ⋮ Small covers over products of a simple polytope with a simplex ⋮ On homotopy rigidity of the functor \(\varSigma\varOmega\) on co-\( H\)-spaces ⋮ Rigidity problems in toric topology: a survey ⋮ Cohomological rigidity of real Bott manifolds ⋮ Cohomological rigidity of the connected sum of three real projective spaces ⋮ Small covers and quasitoric manifolds over neighborly polytopes

Cites Work

• Classification of \(\mathbb{Q}\)-trivial Bott manifolds
• Cohomological rigidity of real Bott manifolds
• Classification problems of toric manifolds via topology
• Characteristic Classes. (AM-76)
• Topological classification of generalized Bott towers
• Thom Complexes
• Vector fields on spheres

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