On the topology of real Bott manifolds

DOI10.1007/s13226-018-0299-yzbMath1423.57045arXiv1704.02177OpenAlexW2784031714MaRDI QIDQ2322998

Raisa Dsouza

Publication date: 30 August 2019

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.02177

zbMATH Keywords

spin structureorientabilityreal Bott manifoldsoriented null-cobordism

Mathematics Subject Classification ID

Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15) Compact groups of homeomorphisms (57S10)

Related Items (1)

Spin structures on generalized real Bott manifolds

Cites Work

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• Diffeomorphism classes of real Bott manifolds
• The number of small covers over cubes and the product of at most three simplices up to equivariant cobordism
• Felder von Flächenelementen in 4-dimensionalen Mannigfaltigkeiten. (Plane element fields in 4-dimensional manifolds)
• Determination of the cobordism ring
• Convex polytopes, Coxeter orbifolds and torus actions
• Cohomological rigidity of real Bott manifolds
• Bott towers, complete integrability, and the extended character of representations
• On the fundamental group of real toric varieties
• The orientability of small covers and coloring simple polytopes
• Homotopy decompositions and \(K\)-theory of Bott towers
• Bott towers, crosspolytopes and torus actions
• Small Covers and the Equivariant Bordism Classification of 2-torus Manifolds
• Classification of real Bott manifolds and acyclic digraphs
• SPIN-STRUCTURES ON REAL BOTT MANIFOLDS
• On the Stiefel-Whitney Classes of a Manifold
• Semifree circle actions, Bott towers and quasitoric manifolds
• Topological classification of generalized Bott towers
• Distributions, vector distributions, and immersions of manifolds in Euclidean spaces11The author was supported in part by two grants of VEGA (Slovakia).

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