\(K\)-duality for stratified pseudomanifolds

DOI10.2140/gt.2009.13.49zbMath1159.19303arXiv0801.3597OpenAlexW2164359032MaRDI QIDQ1006121

Jean-Marie Lescure, Claire Debord

Publication date: 19 March 2009

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.3597

zbMATH Keywords

Poincaré dualitysingular manifoldssmooth groupoidsKasparov bivariant \(K\)-theory

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Index theory and related fixed-point theorems on manifolds (58J20) Ext and (K)-homology (19K33) Kasparov theory ((KK)-theory) (19K35) Pseudogroups and differentiable groupoids (58H05) Noncommutative geometry (à la Connes) (58B34) Index theory (19K56) Generalized manifolds (57P99) Stratified sets (58A35) Stratifications in topological manifolds (57N80)

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Analysis on singular spaces: Lie manifolds and operator algebras ⋮ Singular spaces, groupoids and metrics of positive scalar curvature ⋮ Fourier integral operators on Lie groupoids ⋮ A geometric approach to $K$-homology for Lie manifolds ⋮ Analysis, geometry and topology of singular PDE. Abstracts from the workshop held June 6--12, 2021 (hybrid meeting) ⋮ Lie groupoids, pseudodifferential calculus, and index theory ⋮ Lie groupoids, exact sequences, Connes-Thom elements, connecting maps and index maps ⋮ A cohomological formula for the Atiyah–Patodi–Singer index on manifolds with boundary ⋮ Pseudodifferential operators on manifolds with fibred corners ⋮ The adiabatic groupoid and the Higson-Roe exact sequence ⋮ Analysis of gauge-equivariant complexes and a topological index theorem for gauge-invariant families

Cites Work

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