An elementary differential extension of odd K-theory

DOI10.1017/is013002018jkt218zbMath1327.19014arXiv1211.4477OpenAlexW2963702750MaRDI QIDQ2874241

Mahmoud Zeinalian, Thomas Tradler, Scott O. Wilson

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/1211.4477

zbMATH Keywords

\(K\)-theoryChern-Simonsdifferential \(K\)-theory

Mathematics Subject Classification ID

Eta-invariants, Chern-Simons invariants (58J28) Relations of (K)-theory with cohomology theories (19E20) Twisted (K)-theory; differential (K)-theory (19L50)

Related Items (10)

Spectral sequences in smooth generalized cohomology ⋮ A Hilbert bundle description of differential \(K\)-theory ⋮ Differential KO-theory: constructions, computations, and applications ⋮ Equivariant eta forms and equivariant differential \(K\)-theory ⋮ Geometric models of twisted differential \(K\)-theory. I ⋮ Noncommutative differential \(K\)-theory ⋮ ON DIFFERENTIAL CHARACTERISTIC CLASSES ⋮ A geometric model for odd differential \(K\)-theory ⋮ A note on the Venice lemma in differential \(K\)-theory ⋮ A loop group extension of the odd Chern character

Cites Work

• Differential forms on loop spaces and the cyclic bar complex
• An index theorem in differential \(K\)-theory
• The odd Chern character in cyclic homology and spectral flow
• A new proof of the Bott periodicity theorem
• Quasifibrations and Bott periodicity
• Characteristic forms and geometric invariants
• \(\mathbb{R} /\mathbb{Z}\) index theory
• Quadratic functions in geometry, topology, and \(M\)-theory
• Théorie de Hodge. II. (Hodge theory. II)
• Differential K-Theory: A Survey
• Uniqueness of smooth extensions of generalized cohomology theories
• Iterated path integrals
• Existence of Universal Connections II

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