Adiabatic limits and the spectrum of the laplacian on foliated manifolds

Abstract

We present some recent results on the behavior of the spectrum of the differential form Laplacian on a Riemannian foliated manifold when the metric on the ambient manifold is blown up in directions normal to the leaves (in the adiabatic limit).

Original language	English
Title of host publication	C*-algebras and Elliptic Theory II
Editors	Richard Melrose, Dan Burghelea, Alexander S. Mishchenko, Evgenij V. Troitsky
Publisher	Springer International Publishing
Pages	123-144
Number of pages	22
ISBN (Print)	9783764386030
Publication status	Published - 1 Jan 2008
Externally published	Yes
Event	2nd International Conference on C-algebras and elliptic theory, 2006 - Bedlewo, Poland Duration: 1 Jan 2006 → …

Publication series

Name	Trends in Mathematics
Volume	45
ISSN (Print)	2297-0215
ISSN (Electronic)	2297-024X

Conference

Conference	2nd International Conference on C-algebras and elliptic theory, 2006
Country	Poland
City	Bedlewo
Period	1.1.06 → …

ASJC Scopus subject areas

Mathematics(all)

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Cite this

Kordyukov, Y. A., & Yakovlev, A. A. (2008). Adiabatic limits and the spectrum of the laplacian on foliated manifolds. In R. Melrose, D. Burghelea, A. S. Mishchenko, & E. V. Troitsky (Eds.), C*-algebras and Elliptic Theory II (pp. 123-144). (Trends in Mathematics; Vol. 45). Springer International Publishing.

Adiabatic limits and the spectrum of the laplacian on foliated manifolds. / Kordyukov, Yuri A.; Yakovlev, Andrey A.

C*-algebras and Elliptic Theory II. ed. / Richard Melrose; Dan Burghelea; Alexander S. Mishchenko; Evgenij V. Troitsky. Springer International Publishing, 2008. p. 123-144 (Trends in Mathematics; Vol. 45).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Kordyukov, YA & Yakovlev, AA 2008, Adiabatic limits and the spectrum of the laplacian on foliated manifolds. in R Melrose, D Burghelea, AS Mishchenko & EV Troitsky (eds), C*-algebras and Elliptic Theory II. Trends in Mathematics, vol. 45, Springer International Publishing, pp. 123-144, 2nd International Conference on C-algebras and elliptic theory, 2006, Bedlewo, Poland, 1.1.06.

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