Bismut superconnections and the Chern character for Dirac operators on foliated manifolds

DOI10.1007/BF00998126zbMath0843.58117MaRDI QIDQ1904360

James L. Heitsch

Publication date: 21 August 1996

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

zbMATH Keywords

foliationsuperconnectiongeneralized Dirac operators

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Index theory (19K56)

Related Items (11)

Regularity of the analytic torsion form on families of normal coverings ⋮ Exponential coordinates and regularity of groupoid heat kernels ⋮ Index Theory and Non-Commutative Geometry II. Dirac Operators and Index Bundles ⋮ Noncommutative geometry of foliations ⋮ Enlargeability, foliations, and positive scalar curvature ⋮ Hierarchies of holonomy groupoids for foliated bundles ⋮ Geometric non-commutative geometry ⋮ Local index theory over foliation groupoids ⋮ The holonomy groupoids of singularly foliated bundles ⋮ L²-RHO FORM FOR NORMAL COVERINGS OF FIBER BUNDLES ⋮ Riemann-Roch-Grothendieck and torsion for foliations

Cites Work

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• The graph of a foliation
• A Lefschetz theorem for foliated manifolds
• The longitudinal index theorem for foliations
• The Atiyah-Singer index theorem for families of Dirac operators: Two heat equation proofs
• A proof of Bismut local index theorem for a family of Dirac operators
• Local index theorem for families
• Some remarks on foliations with minimal leaves
• Asymptotic expansions for the compact quotients of properly discontinuous group actions
• The index of elliptic operators. IV, V
• Finite propagation speed and Connes' foliation algebra

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