A higher index theorem for foliated manifolds with boundary

DOI10.1016/j.bulsci.2011.06.005zbMath1257.58014arXivmath/0701482OpenAlexW2037249516MaRDI QIDQ765732

Mostafa Esfahani Zadeh

Publication date: 22 March 2012

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0701482

zbMATH Keywords

foliations\(b\)-calculusfamily index theoremlongitudinal Dirac operator

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Spin and Spin({}^c) geometry (53C27) Foliations in differential topology; geometric theory (57R30)

Related Items (1)

Eta cocycles, relative pairings and the Godbillon-Vey index theorem

Cites Work

• Superconnections and the Chern character
• The longitudinal index theorem for foliations
• The Atiyah-Singer index theorem for families of Dirac operators: Two heat equation proofs
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Higher eta-invariants
• The Novikov conjecture for hyperbolic foliations
• Von Neumann index theorems for manifolds with boundary
• Families of Dirac operators, boundaries and the \(B\)-calculus
• Local index theory over foliation groupoids
• A note on curvature and fundamental group
• The index of elliptic operators. I
• The index of elliptic operators. III
• Curvature and the eigenvalues of the Laplacian
• The index of elliptic operators. IV, V
• The $b$-pseudodifferential calculus on Galois coverings and a higher Atiyah-Patodi-Singer index theorem
• Local index theory over étale groupoids
• Flat Vector Bundles, Direct Images and Higher Real Analytic Torsion
• Étale groupoids, eta invariants and index theory
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