Equivariant embeddings of principal \(Z_ n\)-bundles into complex vector bundles

DOI10.1016/0166-8641(83)90025-1zbMath0529.57001OpenAlexW2026724595WikidataQ126352809 ScholiaQ126352809MaRDI QIDQ787540

Jesper Michael Møller

Publication date: 1983

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(83)90025-1

zbMATH Keywords

Chern classesembeddings into trivial vector bundlesequivariant embeddings of principal Z mod n bundles into complex vector bundles

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Characteristic classes and numbers in differential topology (57R20) Finite transformation groups (57S17) Low-dimensional topology of special (e.g., branched) coverings (57M12) Homology of classifying spaces and characteristic classes in algebraic topology (55R40)

Related Items (2)

A model for embedding finite coverings defined by principal bundles into bundles of manifolds ⋮ Covering maps with separators

Cites Work

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• Polynomial covering spaces and homomorphisms into the braid groups
• Imbedding smooth involutions in trivial bundles
• On the Existence of Equivariant Embeddings of Principal Bundles into Vector Bundles
• Coverings defined by Weierstraß polynomials.
• On the embedding of coverings into 1-dimensional bundles.
• On polynomial coverings and their classification.
• Mapping class groups and their relationship to braid groups

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