Electronic Research Announcements

Author(s): Octav Cornea; François Lalonde
Journal: Electron. Res. Announc. Amer. Math. Soc. 12 (2006), 1-12.
MSC (2000): Primary 53D12; Secondary 53D40
Posted: February 10, 2006
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Abstract: We associate, to a Lagrangian submanifold

of a symplectic manifold, a new homology, called the cluster homology of

, which is invariant up to ambient symplectic diffeomorphisms. We discuss various applications concerning analytical, topological, and dynamical properties of Lagrangian submanifolds. We also deduce a new universal Floer homology, defined without obstruction, for pairs of Lagrangian submanifolds.

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Retrieve articles in Electronic Research Announcements with MSC (2000): 53D12, 53D40

Octav Cornea
Affiliation: Université de Montréal, Département de Mathématiques et de Statistique, C.P. 6128 Succ. Centre-ville, Montréal H3C 3J7, Québec, Canada
Email: cornea@dms.umontreal.ca

François Lalonde
Affiliation: Université de Montréal, Département de Mathématiques et de Statistique, C.P. 6128 Succ. Centre-ville, Montréal H3C 3J7, Québec, Canada
Email: lalonde@dms.umontreal.ca

DOI: 10.1090/S1079-6762-06-00154-5
PII: S 1079-6762(06)00154-5
Keywords: Lagrangian submanifolds, bubbling
Received by editor(s): August 31, 2005
Posted: February 10, 2006
Additional Notes: The authors were supported in part by individual NSERC Discovery Grants and by team FQRNT grants.
Communicated by: Leonid Polterovich
Copyright of article: Copyright 2006, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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