Riemann-Roch-Grothendieck and torsion for foliations

Determinants and determinant bundles, analytic torsion (58J52) Foliations in differential topology; geometric theory (57R30) Riemann-Roch theorems, Chern characters (19L10)

Related Items (3)

Index Theory and Non-Commutative Geometry II. Dirac Operators and Index Bundles ⋮ Nonlocal invariants in index theory ⋮ Analytic torsion on manifolds under locally compact group actions

Cites Work

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The graph of a foliation
A Lefschetz theorem for foliated manifolds
Superconnections and the Chern character
The Atiyah-Singer index theorem for families of Dirac operators: Two heat equation proofs
\(L_ 2\)-cohomology and group cohomology
A proof of Bismut local index theorem for a family of Dirac operators
Analytic torsion and holomorphic determinant bundles. I: Bott-Chern forms and analytic torsion. II: Direct images and Bott-Chern forms. III: Quillen metrics on holomorphic determinants
An index theorem on open manifolds. I. II
Some remarks on foliations with minimal leaves
Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
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Von Neumann spectra near zero
Heat kernels on covering spaces and topological invariants
Analytic torsion and R-torsion of Riemannian manifolds
Analytic torsion and the heat equation
Spectral asymptotics of foliated manifolds
A general families index theorem
Homotopieringe und Linsenräume
Bismut superconnections and the Chern character for Dirac operators on foliated manifolds
R-torsion and the Laplacian on Riemannian manifolds
Characteristic invariants of foliated bundles
On the Differential Form Spectrum of Negatively Curved Riemannian Manifolds
Exotic classes for measured foliations
Flat Vector Bundles, Direct Images and Higher Real Analytic Torsion
Analytic Torsion and R-Torsion for Unimodular Representations
Über die Torsion einer Überdeckung.

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