Index Theory and Non-Commutative Geometry II. Dirac Operators and Index Bundles

DOI10.1017/is007011012jkt007zbMath1155.58009arXivmath/0504385OpenAlexW2963398259MaRDI QIDQ3527582

James L. Heitsch, Moulay Tahar Benameur

Publication date: 29 September 2008

Published in: Journal of K-Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0504385

zbMATH Keywords

Chern charactergeneralized Dirac operatorHaeflinger cohomology

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Exotic index theories on manifolds (58J22) Noncommutative global analysis, noncommutative residues (58J42) Index theory (19K56)

Related Items (9)

Leafwise homotopy equivalences and leafwise Sobolov spaces ⋮ Conformal invariants of twisted Dirac operators and positive scalar curvature ⋮ Hierarchies of holonomy groupoids for foliated bundles ⋮ Geometric non-commutative geometry ⋮ The higher twisted index theorem for foliations ⋮ The higher fixed point theorem for foliations. I: Holonomy invariant currents ⋮ The holonomy groupoids of singularly foliated bundles ⋮ Dirac operators on foliations with invariant transverse measures ⋮ Large time limit and local \(L^2\)-index theorems for families

Cites Work

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• Corrigendum: Index theory and non-commutative geometry. I: Higher families index theory.
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• A bivariant Chern-Connes character
• Excision in bivariant periodic cyclic cohomology
• Riemann-Roch-Grothendieck and torsion for foliations
• Index theory and non-commutative geometry. I: Higher families index theory
• Cyclic cohomology, the Novikov conjecture and hyperbolic groups
• A general families index theorem
• Bismut superconnections and the Chern character for Dirac operators on foliated manifolds
• Local index theory over foliation groupoids

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