Remarks on flat and differential \(K\)-theory

DOI10.5802/ambp.337zbMath1329.19010arXiv1203.5383OpenAlexW2963323679MaRDI QIDQ397790

Man-Ho Ho

Publication date: 12 August 2014

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.5383

zbMATH Keywords

topological indexdifferential \(K\)-theoryflat \(K\)-theory

Mathematics Subject Classification ID

Exotic index theories on manifolds (58J22) Index theory (19K56) Twisted (K)-theory; differential (K)-theory (19L50)

Related Items

Spectral sequences in smooth generalized cohomology ⋮ Twisted differential generalized cohomology theories and their Atiyah-Hirzebruch spectral sequence ⋮ ON DIFFERENTIAL CHARACTERISTIC CLASSES

Cites Work

• The differential analytic index in Simons-Sullivan differential \(K\)-theory
• On the equivalence of geometric and analytic \(K\)-homology
• An index theorem in differential \(K\)-theory
• Real embeddings and eta invariants
• \(\mathbb{R} /\mathbb{Z}\) index theory
• Quadratic functions in geometry, topology, and \(M\)-theory
• Differential K-Theory: A Survey
• Structured vector bundles define differential K-theory
• Uniqueness of smooth extensions of generalized cohomology theories
• Smooth K-Theory
• Index theory, eta forms, and Deligne cohomology

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