scholarly journals Adiabatic Limits and the Spectrum of the Laplacian on Foliated Manifolds

2008 ◽  
pp. 123-144 ◽  
Author(s):  
Yuri A. Kordyukov ◽  
Andrey A. Yakovlev
Keyword(s):  
Adiabatic Limits ◽  
Spectrum Of The Laplacian ◽  
Foliated Manifolds

scholarly journals Second-Order Geometric Flows on Foliated Manifolds

2017 ◽  
Vol 28 (1) ◽  
pp. 697-725
Author(s):  
Lucio Bedulli ◽  
Weiyong He ◽  
Luigi Vezzoni
Keyword(s):  
Second Order ◽  
Geometric Flows ◽  
Foliated Manifolds

The Spectrum of the Laplacian on the Pentagasket

2003 ◽  
pp. 1-24 ◽  
Author(s):  
Bryant Adams ◽  
S. Alex Smith ◽  
Robert S. Strichartz ◽  
Alexander Teplyaev
Keyword(s):  
Spectrum Of The Laplacian

scholarly journals Residues and homology for pseudodifferential operators on foliations

2004 ◽  
Vol 94 (1) ◽  
pp. 75 ◽  
Author(s):  
M.-T. Benameur ◽  
V. Nistor
Keyword(s):  
Diophantine Approximation ◽  
Pseudodifferential Operators ◽  
Hochschild Homology ◽  
Foliated Manifold ◽  
Homology Groups ◽  
General Properties ◽  
Poisson Homology ◽  
Foliated Manifolds

We study the Hochschild homology groups of the algebra of complete symbols on a foliated manifold $(M,F)$. The first step is to relate these groups to the Poisson homology of $(M,F)$ and of other related foliated manifolds. We then establish several general properties of the Poisson homology groups of foliated manifolds. As an example, we completely determine these Hochschild homology groups for the algebra of complete symbols on the irrational slope foliation of a torus (under some diophantine approximation assumptions). We also use our calculations to determine all residue traces on algebras of pseudodifferential operators along the leaves of a foliation.

scholarly journals Corrigendum: Gromov-Witten invariants of symplectic quotients and adiabatic limits

2009 ◽  
Vol 7 (3) ◽  
pp. 377-379
Author(s):  
A. Rita Gaio ◽  
A. Rita Gaio ◽  
Dietmar A. Salamon ◽  
Dietmar A. Salamon
Keyword(s):  
Adiabatic Limits ◽  
Symplectic Quotients

Adiabatic limits of η-invariants and the Meyer functions

2009 ◽  
Vol 346 (3) ◽  
pp. 669-717 ◽  
Author(s):  
Shuichi Iida
Keyword(s):  
Adiabatic Limits
Sign in / Sign up

Export Citation Format

Share Document