Local index theory over foliation groupoids

DOI10.1016/j.aim.2005.05.018zbMath1106.58014arXivmath/0407246OpenAlexW2096880489MaRDI QIDQ2498829

Alexander Gorokhovsky, John Lott

Publication date: 16 August 2006

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0407246

zbMATH Keywords

foliationindexgroupoid

Mathematics Subject Classification ID

Exotic index theories on manifolds (58J22) Foliations (differential geometric aspects) (53C12) Noncommutative geometry (à la Connes) (58B34)

Related Items (14)

The index of leafwise \(G\)-transversally elliptic operators on foliations ⋮ Regularity of the analytic torsion form on families of normal coverings ⋮ Eta cocycles, relative pairings and the Godbillon-Vey index theorem ⋮ Index Theory and Non-Commutative Geometry II. Dirac Operators and Index Bundles ⋮ Noncommutative geometry of foliations ⋮ The localized longitudinal index theorem for Lie groupoids and the Van Est map ⋮ Index theory and noncommutative geometry: a survey ⋮ Hierarchies of holonomy groupoids for foliated bundles ⋮ Geometric non-commutative geometry ⋮ Bivariant Chern character and longitudinal index ⋮ The holonomy groupoids of singularly foliated bundles ⋮ L²-RHO FORM FOR NORMAL COVERINGS OF FIBER BUNDLES ⋮ A higher index theorem for foliated manifolds with boundary ⋮ Compactly supported analytic indices for Lie groupoids

Cites Work

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• The longitudinal index theorem for foliations
• The Atiyah-Singer index theorem for families of Dirac operators: Two heat equation proofs
• The holonomic imperative and the homotopy groupoid of a foliated manifold
• Some remarks on foliations with minimal leaves
• The Novikov conjecture for hyperbolic foliations
• Cyclic cohomology of étale groupoids: The general case
• Localization of topological Pontryagin classes via finite propagation speed
• Cyclic cohomology of etale groupoids
• Index theory and non-commutative geometry. I: Higher families index theory
• Cyclic cohomology, the Novikov conjecture and hyperbolic groups
• The index of operators on foliated bundles
• A general families index theorem
• Bismut superconnections and the Chern character for Dirac operators on foliated manifolds
• Superconnections and higher index theory
• The index of elliptic operators. IV, V
• Wavetrace asymptotics for operators of dirac type
• Super-connections and non-commutative geometry
• Local index theory over étale groupoids
• Flat Vector Bundles, Direct Images and Higher Real Analytic Torsion
• Étale groupoids, eta invariants and index theory
• Foliation groupoids and their cyclic homology

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