A geometric model for odd differential \(K\)-theory

DOI10.1016/j.difgeo.2015.02.001zbMath1317.19013arXiv1309.2834OpenAlexW2118797170WikidataQ115356028 ScholiaQ115356028MaRDI QIDQ2348086

Pedram Hekmati, Michael K. Murray, Vincent S. Schlegel, Raymond F. Vozzo

Publication date: 10 June 2015

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.2834

zbMATH Keywords

connectionsdifferential \(K\)-theoryChern charactersHiggs fieldscaloron correspondencestring potential

Mathematics Subject Classification ID

Loop groups and related constructions, group-theoretic treatment (22E67) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Characteristic classes and numbers in differential topology (57R20) Algebraic topology on manifolds and differential topology (57R19) Riemann-Roch theorems, Chern characters (19L10) Twisted (K)-theory; differential (K)-theory (19L50)

Related Items (3)

Spectral sequences in smooth generalized cohomology ⋮ Equivariant, string and leading order characteristic classes associated to fibrations ⋮ A loop group extension of the odd Chern character

Cites Work

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• An index theorem in differential \(K\)-theory
• The caloron correspondence and higher string classes for loop groups
• The odd Chern character in cyclic homology and spectral flow
• Characteristic forms and geometric invariants
• Equivariant, string and leading order characteristic classes associated to fibrations
• Quadratic functions in geometry, topology, and \(M\)-theory
• Higgs fields, bundle gerbes and string structures
• An elementary differential extension of odd K-theory
• Differential K-Theory: A Survey
• Structured vector bundles define differential K-theory
• Uniqueness of smooth extensions of generalized cohomology theories
• Smooth K-Theory

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