Geometric K-homology with coefficients II: The Analytic Theory and Isomorphism

DOI10.1017/is013007003jkt235zbMath1297.19006arXiv1101.0703OpenAlexW2331019340MaRDI QIDQ2874238

Robin J. Deeley

Publication date: 29 January 2014

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

Full work available at URL: https://arxiv.org/abs/1101.0703

zbMATH Keywords

\(K\)-homology\(\mathbb Z/k\mathbb Z\)-manifoldsFreed-Melrose index theorem

Mathematics Subject Classification ID

Noncommutative topology (46L85) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Ext and (K)-homology (19K33) Topological (K)-theory (55N15) Index theory (19K56)

Related Items (3)

A new proof of an index theorem of Freed and Melrose ⋮ The class of a fibre in noncommutative geometry ⋮ Boundaries, spectral triples and \(K\)-homology

Cites Work

• On the equivalence of geometric and analytic \(K\)-homology
• Topological methods for \(C^*\)-algebras. IV: Mod p homology
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• A mod \(k\) index theorem
• The transversality characteristic class and linking cycles in surgery theory
• Extensions of \(C^*\)-algebras and \(K\)-homology
• Groupoid \(C^*\)-algebras and index theory on manifolds with singularities
• An index theorem for Toeplitz operators on odd-dimensional manifolds with boundary
• The index of elliptic operators. II
• Geometric K-homology with coefficients I: ℤ/kℤ-cycles and Bockstein sequence
• Spectral asymmetry and Riemannian Geometry. I
• TOPOLOGICAL INVARIANTS OF ELLIPTIC OPERATORS. I:K-HOMOLOGY
• Index theory, bordism, and 𝐾-homology
• Unnamed Item

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