Noncommutative geometry of foliations-Reference-Cited by-同舟云学术

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Noncommutative geometry of foliations

Published:2008-03-04 Issue:2 Volume:2 Page:219-327
ISSN:1865-2433
Container-title:Journal of K-Theory
language:en
Short-container-title:J K-Theor

Author:

Kordyukov Yuri A.

Abstract

AbstractWe review basic notions and methods of noncommutative geometry and their applications to analysis and geometry on foliated manifolds.

Publisher

Cambridge University Press (CUP)

Subject

Geometry and Topology,Algebra and Number Theory

Reference186 articles.

1. Rigidity theorems for foliations by surfaces and spin manifolds;Heitsch;Michigan Math. J.,1991

2. La conjecture de Baum–Connes pour les feuilletages moyennables

3. A Lefschetz theorem for foliated manifolds

4. Geometric Asymptotics

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1. Generalized symmetry in noncommutative (complex) geometry;Journal of Geometry and Physics;2021-08

2. Laplacians on smooth distributions;Sbornik: Mathematics;2017-10-31

3. The wave trace of the basic Laplacian of a Riemannian foliation near a non-zero period;Annals of Global Analysis and Geometry;2013-01-03

4. Noncommutative Hamiltonian dynamics on foliated manifolds;Journal of Fixed Point Theory and Applications;2010-07-22

5. Index theory and non-commutative geometry on foliated manifolds;Russian Mathematical Surveys;2009-04-30

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