Geometric K-homology with coefficients I: ℤ/kℤ-cycles and Bockstein sequence

DOI10.1017/is011010022jkt170zbMath1256.19005arXiv1101.0697OpenAlexW2132889062MaRDI QIDQ2905337

Robin J. Deeley

Publication date: 27 August 2012

Published in: Journal of K-theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.0697

zbMATH Keywords

index theorygeometric cycles\(K\)-homology\(\mathbb Z / k \mathbb Z\)-manifolds

Mathematics Subject Classification ID

Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Ext and (K)-homology (19K33) Topological (K)-theory (55N15) Index theory (19K56)

Related Items (7)

K-cycles for twisted K-homology ⋮ Realizing the analytic surgery group of Higson and Roe geometrically. I: The geometric model ⋮ Some connections between Bunke-Schick differential \(K\)-theory and topological \(\mathbb{Z}/k\mathbb{Z}\) \(K\)-theory ⋮ A new proof of an index theorem of Freed and Melrose ⋮ The class of a fibre in noncommutative geometry ⋮ An index theorem for odd-dimensional \(\mathbb{Z}/k\mathbb{Z}\)-manifolds ⋮ Geometric K-homology with coefficients II: The Analytic Theory and Isomorphism

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