A cohomological formula for the Atiyah–Patodi–Singer index on manifolds with boundary

DOI10.1142/S1793525314500046zbMath1346.19007arXiv1207.3514OpenAlexW2964213540MaRDI QIDQ5414174

Jean-Marie Lescure, Bertrand Monthubert, Paulo Carrillo Rouse

Publication date: 2 May 2014

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.3514

zbMATH Keywords

groupoidindex theorypseudodifferential calculus\(K\)-theory and \(C^\ast\)-algebras

Mathematics Subject Classification ID

Exotic index theories on manifolds (58J22) Eta-invariants, Chern-Simons invariants (58J28) Pseudogroups and differentiable groupoids (58H05) Noncommutative geometry (à la Connes) (58B34) Index theory (19K56)

Related Items (13)

Getzler rescaling via adiabatic deformation and a renormalized index formula ⋮ On Fredholm boundary conditions on manifolds with corners. I: Global corner cycles obstructions ⋮ Analysis on singular spaces: Lie manifolds and operator algebras ⋮ Singular spaces, groupoids and metrics of positive scalar curvature ⋮ Conormal homology of manifolds with corners ⋮ The index formula for families of Dirac type operators on pseudomanifolds ⋮ Lie groupoids, pseudodifferential calculus, and index theory ⋮ Adiabatic groupoid and secondary invariants in K-theory ⋮ Lie groupoids, exact sequences, Connes-Thom elements, connecting maps and index maps ⋮ Geometric obstructions for Fredholm boundary conditions for manifolds with corners ⋮ Fredholm Conditions on Non-compact Manifolds: Theory and Examples ⋮ The Atiyah-Singer cobordism invariance and the tangent groupoid ⋮ Graded hypoellipticity of BGG sequences

Cites Work

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• Functoriality of the bimodule associated to a Hilsum-Skandalis map
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• Spectral asymmetry and Riemannian Geometry. I
• Spectral asymmetry and Riemannian geometry. II
• Spectral asymmetry and Riemannian geometry. III
• Indice analytique et groupoïdes de Lie
• SPECTRAL INVARIANCE FOR CERTAIN ALGEBRAS OF PSEUDODIFFERENTIAL OPERATORS

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