On Fredholm boundary conditions on manifolds with corners. I: Global corner cycles obstructions

DOI10.2140/akt.2021.6.607zbMath1493.19004arXiv1910.11049OpenAlexW4212902793MaRDI QIDQ831447

Paulo Carrillo Rouse, Mario Velásquez, Jean-Marie Lescure

Publication date: 23 March 2022

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

Full work available at URL: https://arxiv.org/abs/1910.11049

zbMATH Keywords

\(K\)-theoryLie groupoidsindex theorymanifolds with corners

Mathematics Subject Classification ID

Pseudodifferential and Fourier integral operators on manifolds (58J40) Exotic index theories on manifolds (58J22) Pseudogroups and differentiable groupoids (58H05) Topological (K)-theory (55N15) Index theory (19K56)

Related Items (2)

Conormal homology of manifolds with corners ⋮ Analysis, geometry and topology of singular PDE. Abstracts from the workshop held June 6--12, 2021 (hybrid meeting)

Cites Work

• Unnamed Item
• Unnamed Item
• Geometric obstructions for Fredholm boundary conditions for manifolds with corners
• Index in \(K\)-theory for families of fibred cusp operators
• The analysis of linear partial differential operators. III: Pseudo-differential operators
• Analytic \(K\)-theory on manifolds with corners
• Pseudodifferential operators on differential groupoids
• \(K\)-theory of \(C^*\)-algebras of b-pseudodifferential operators
• An index theorem for families of Dirac operators on odd-dimensional manifolds with boundary
• Families of Dirac operators, boundaries and the \(B\)-calculus
• An index theorem for gauge-invariant families: the case of solvable groups
• Pseudodifferential analysis on continuous family groupoids
• Holonomy groupoids of singular foliations.
• Orbispaces as differentiable stratified spaces
• Lie groupoids, exact sequences, Connes-Thom elements, connecting maps and index maps
• Non-Hausdorff groupoids, proper actions and \(K\)-theory
• Stabilité des \(C^*\)-algèbres de feuilletages
• Groupoids and pseudodifferential calculus on manifolds with corners
• About the convolution of distributions on groupoids
• The index of \(b\)-pseudodifferential operators on manifolds with corners
• The index of elliptic operators. I
• The index of elliptic operators. III
• On Spaces Having the Homotopy Type of a CW-Complex
• Index theory, eta forms, and Deligne cohomology
• Spectral asymmetry and Riemannian Geometry. I
• Indice analytique et groupoïdes de Lie
• A topological index theorem for manifolds with corners
• A cohomological formula for the Atiyah–Patodi–Singer index on manifolds with boundary

This page was built for publication: On Fredholm boundary conditions on manifolds with corners. I: Global corner cycles obstructions