Noncommutative geometry and conformal geometry. II: Connes-Chern character and the local equivariant index theorem

DOI10.4171/JNCG/235zbMath1343.58004arXiv1411.3703OpenAlexW2963653871MaRDI QIDQ283246

Raphaël Ponge, Hang Wang

Publication date: 13 May 2016

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.3703

zbMATH Keywords

noncommutative geometryheat kernel techniquesequivariant index theoryConnes-Chern character

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Noncommutative geometry (à la Connes) (58B34) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (15)

The cyclic homology of crossed-product algebras. II ⋮ Noncommutative geometry and conformal geometry. II: Connes-Chern character and the local equivariant index theorem ⋮ The noncommutative infinitesimal equivariant index formula. II. ⋮ Index map, \(\sigma\)-connections, and Connes-Chern character in the setting of twisted spectral triples ⋮ Volterra calculus and the variation formulas for the equivariant Ray–Singer metric ⋮ The noncommutative family Atiyah-Patodi-Singer index theorem ⋮ Equivariant Toeplitz index theory on odd-dimensional manifolds with boundary ⋮ Topological \(K\)-theory for discrete groups and index theory ⋮ Cyclic homology and group actions ⋮ Noncommutative geometry and conformal geometry: I. Local index formula and conformal invariants ⋮ Noncommutative geometry and conformal geometry. III: Vafa-Witten inequality and Poincaré duality ⋮ The periodic cyclic homology of crossed products of finite type algebras ⋮ Untwisting twisted spectral triples ⋮ On the scalar curvature for the noncommutative four torus ⋮ The equivariant family index theorem in odd dimensions

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