Noncommutative differential \(K\)-theory
DOI10.1016/j.geomphys.2021.104446zbMath1487.19010arXiv2106.12073OpenAlexW4205465993WikidataQ115352670 ScholiaQ115352670MaRDI QIDQ2078503
Augusto Stoffel, Arthur J. Parzygnat, Corbett Redden, Byungdo Park
Publication date: 1 March 2022
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.12073
algebraic \(K\)-theoryChern characterChern-Weil theorydifferential \(K\)-theorynoncommutative de Rham homologySerre-Swan correspondence
(K)-theory and homology; cyclic homology and cohomology (19D55) Eta-invariants, Chern-Simons invariants (58J28) Noncommutative geometry (à la Connes) (58B34) Twisted (K)-theory; differential (K)-theory (19L50)
Cites Work
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- Differential cohomology theories as sheaves of spectra
- Differential \(K\)-theory as equivalence classes of maps to Grassmannians and unitary groups
- Théorie générale des classes caractéristiques secondaires. (General theory of secondary characteristic classes)
- Faisceaux algébriques cohérents
- On a generalised Connes-Hochschild-Kostant-Rosenberg theorem
- \(K\)-theory with \(\mathbb{R}/\mathbb{Z}\) coefficients and von Neumann algebras
- An index theorem in differential \(K\)-theory
- Superconnection character forms and the Cayley transform
- Sheaves in geometry and logic: a first introduction to topos theory
- D-branes and \(K\)-theory
- \(K\)-theory and Ramond-Ramond charge
- Twisted differential generalized cohomology theories and their Atiyah-Hirzebruch spectral sequence
- A smooth variant of Hopkins-Singer differential \(K\)-theory
- Spectral sequences in smooth generalized cohomology
- Quadratic functions in geometry, topology, and \(M\)-theory
- Green-hyperbolic operators on globally hyperbolic spacetimes
- An elementary differential extension of odd K-theory
- Structured vector bundles define differential K-theory
- Flat bundles, von Neumann algebras andK-theory with ℝ/ℤ-coefficients
- Monoidal Grothendieck construction
- Uniqueness of smooth extensions of generalized cohomology theories
- Smooth K-Theory
- Vector Bundles and Projective Modules
- Smooth Manifolds and Observables
- Secondary analytic indices
- Algebra Extensions and Nonsingularity
- Note on the Serre‐Swan theorem
- Differential function spectra, the differential Becker-Gottlieb transfer, and applications to differential algebraic 𝐾-theory
- A user's guide to co/cartesian fibrations
- Two-dimensional algebra in lattice gauge theory
- D-branes and bivariant K-theory
- Existence of Universal Connections
- Existence of Universal Connections II
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