Local index formula and twisted spectral triples
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Publication:3001490
zbMath1232.58013arXiv0902.0835MaRDI QIDQ3001490
Publication date: 31 May 2011
Full work available at URL: https://arxiv.org/abs/0902.0835
Exotic index theories on manifolds (58J22) Noncommutative global analysis, noncommutative residues (58J42)
Related Items (17)
Crossed product extensions of spectral triples ⋮ Noncommutative geometry and conformal geometry. II: Connes-Chern character and the local equivariant index theorem ⋮ Index map, \(\sigma\)-connections, and Connes-Chern character in the setting of twisted spectral triples ⋮ Modular spectral triples and deformed Fredholm modules ⋮ A two dimensional Adler-Manin trace and bi-singular operators ⋮ Noncommutative geometry and conformal geometry: I. Local index formula and conformal invariants ⋮ Noncommutative geometry and conformal geometry. III: Vafa-Witten inequality and Poincaré duality ⋮ Field theory with coordinate dependent noncommutativity ⋮ On the index formula for an isometric diffeomorphism ⋮ Regularity of twisted spectral triples and pseudodifferential calculi ⋮ Analytic and algebraic indices of elliptic operators associated with discrete groups of quantized canonical transformations ⋮ Untwisting twisted spectral triples ⋮ The unbounded Kasparov product by a differentiable module ⋮ Dynamics of compact quantum metric spaces ⋮ Local index formulae on noncommutative orbifolds and equivariant zeta functions for the affine metaplectic group ⋮ On the scalar curvature for the noncommutative four torus ⋮ On the Chern-Gauss-Bonnet theorem and conformally twisted spectral triples for \(C^*\)-dynamical systems
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