Noncommutative spectral geometry of Riemannian foliations

DOI10.1007/BF02677838zbMath0896.58065arXivdg-ga/9703012OpenAlexW2084337207WikidataQ115391888 ScholiaQ115391888MaRDI QIDQ1383233

Yurii A. Kordyukov

Publication date: 14 September 1998

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

Full work available at URL: https://arxiv.org/abs/dg-ga/9703012

zbMATH Keywords

holonomyspectral triplestransversally elliptic operatorstransverse signature operator

Mathematics Subject Classification ID

Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

Related Items (8)

Transverse noncommutative geometry of foliations ⋮ Laplacians on smooth distributions ⋮ Atiyah covering index theorem for Riemannian foliations ⋮ Vanishing theorem for transverse Dirac operators on Riemannian foliations ⋮ The Egorov theorem for transverse Dirac-type operators on foliated manifolds ⋮ Elliptic operators associated with groups of quantized canonical transformations ⋮ Adiabatic limits, vanishing theorems and the noncommutative residue ⋮ Egorov's theorem for transversally elliptic operators on foliated manifolds and noncommutative geodesic flow

Cites Work

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