The Novikov conjecture on Cheeger spaces

DOI10.4171/JNCG/11-2-2zbMath1375.57034arXiv1308.2844WikidataQ122976854 ScholiaQ122976854MaRDI QIDQ2013491

Pierre Albin, Paolo Piazza, Eric Leichtnam, Rafe R. Mazzeo

Publication date: 8 August 2017

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.2844

zbMATH Keywords

\(K\)-theoryhigher index theorystratified space\(L^2\)-cohomologyideal boundary conditionhigher signatureCheeger space

Mathematics Subject Classification ID

Noncommutative topology (46L85) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Index theory and related fixed-point theorems on manifolds (58J20) Pseudodifferential and Fourier integral operators on manifolds (58J40) Noncommutative geometry (à la Connes) (58B34) Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60) Index theory (19K56) Generalized manifolds (57P99) Stratified sets (58A35) Algebraic topology on manifolds and differential topology (57R19)

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