A topological index theorem for manifolds with corners

DOI10.1112/S0010437X11005458zbMath1247.58016arXivmath/0507601MaRDI QIDQ5390082

Victor Nistor, Bertrand Monthubert

Publication date: 27 April 2012

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0507601

zbMATH Keywords

manifold with cornersLie groupoidindex theorymanifold with poly-cylindrical ends

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) (K)-theory and operator algebras (including cyclic theory) (46L80) Exotic index theories on manifolds (58J22)

Related Items

Getzler rescaling via adiabatic deformation and a renormalized index formula ⋮ On Fredholm boundary conditions on manifolds with corners. I: Global corner cycles obstructions ⋮ On homotopy classification of elliptic problems with contractions and \(K\)-groups of corresponding \(C^*\)-algebras ⋮ K-theory of pseudodifferential operators with semi-periodic symbols ⋮ Global well posedness for the semilinear edge-degenerate parabolic equations on singular manifolds ⋮ Layer potentials \(C^*\)-algebras of domains with conical points ⋮ The index formula for families of Dirac type operators on pseudomanifolds ⋮ K-theory and index theory for some boundary groupoids ⋮ Noncommutative geometry and classification of elliptic operators ⋮ Atiyah-Bott index on stratified manifolds ⋮ Homotopy classification of elliptic problems associated with discrete group actions on manifolds with boundary ⋮ The principal-symbol index map for an algebra of pseudodifferential operators ⋮ Geometric obstructions for Fredholm boundary conditions for manifolds with corners

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