Vector bundles over Davis-Januszkiewicz spaces with prescribed characteristic classes

DOI10.1090/S0002-9947-2012-05508-5zbMath1246.55015arXiv0905.4461OpenAlexW2593842175MaRDI QIDQ2884401

Dietrich Notbohm

Publication date: 29 May 2012

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.4461

zbMATH Keywords

simplicial complexvector bundlecharacteristic classescomplex structurecoloringDavis-Januszkiewicz space

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Coloring of graphs and hypergraphs (05C15) Topology of vector bundles and fiber bundles (57R22)

Cites Work

• Unnamed Item
• Convex polytopes, Coxeter orbifolds and torus actions
• On Davis-Januszkiewicz homotopy types II: Completion and globalisation
• Equivariant almost complex structures on quasitoric manifolds
• Homotopy fixed-point methods for Lie groups and finite loop spaces
• On Davis-Januszkiewicz homotopy types I: formality and rationalisation
• Equivariant K-theory
• Convenient categories of topological spaces for homotopy theory
• Homotopy limits, completions and localizations
• Decompositions of the polyhedral product functor with applications to moment-angle complexes and related spaces
• Higher limits via steinberg representations
• Maps between classifying spaces
• Maps between classifying spaces
• Colorings of simplicial complexes and vector bundles over Davis-Januszkiewicz spaces

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