Geometric versus homotopy theoretic equivariant bordism

DOI10.1007/s00208-005-0648-0zbMath1073.55006arXivmath/0412550OpenAlexW2044984053MaRDI QIDQ2484092

Bernhard Hanke

Publication date: 2 August 2005

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0412550

zbMATH Keywords

equivariant bordismPontraygin-Thom map

Mathematics Subject Classification ID

Equivariant homology and cohomology in algebraic topology (55N91) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) General position and transversality (57N75)

Related Items (7)

Global group laws and equivariant bordism rings ⋮ On the equivalence of integral \(T^k\)-cohomology Chern numbers and \(T^k\)-\(K\)-theoretic Chern numbers ⋮ Equivariant complex bundles, fixed points and equivariant unitary bordism ⋮ Equivariant cohomology Chern numbers determine equivariant unitary bordism for torus groups ⋮ A new construction of lens spaces ⋮ Equivariant cobordism of torus orbifolds ⋮ Torus manifolds in equivariant complex bordism

Cites Work

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• Bordism of \(G\)-manifolds and integrality theorems
• Characteristic numbers of G-manifolds. I
• Periodische Abbildungen unitärer Mannigfaltigkeiten. (Periodic mappings of unitary manifolds)
• Computations of complex equivariant bordism rings
• Equivariant Formal Group Laws

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