Uniqueness of differential characters and differential \(K\)-theory via homological algebra

DOI10.1007/s40062-021-00278-4zbMath1465.19003arXiv2005.02056OpenAlexW3141179156MaRDI QIDQ2038103

Ishan Mata

Publication date: 9 July 2021

Published in: Journal of Homotopy and Related Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.02056

zbMATH Keywords

Chern-Simons theorydifferential cohomologydifferential \(K\)-theorydifferential characters

Mathematics Subject Classification ID

Twisted (K)-theory; differential (K)-theory (19L50) Differential geometric aspects of gerbes and differential characters (53C08)

Related Items (3)

Weak amenability of free products of hyperbolic and amenable groups ⋮ Von Neumann equivalence and 𝑀_{𝑑} type approximation properties ⋮ Von Neumann equivalence and group exactness

Uses Software

• MathOverflow

Cites Work

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• From sparks to grundles -- differential characters
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• A geometric description of differential cohomology
• Differential twisted K-theory and applications
• A remark on projectives in functor categories
• Geometry of Deligne cohomology
• Geometric models of twisted differential \(K\)-theory. I
• A generalization of Grothendieck's extension panachées
• Quadratic functions in geometry, topology, and \(M\)-theory
• Differential K-Theory: A Survey
• Differential Characters and Geometric Chains
• Uniqueness of smooth extensions of generalized cohomology theories
• Smooth K-Theory
• The de Rham-Federer theory of differential characters and character duality
• Equivariant differential cohomology
• Axiomatic characterization of ordinary differential cohomology
• Loop spaces, characteristic classes and geometric quantization

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