Geodesic
Cluster homology: An overview of the construction and results
Cornea, Octav 1   ; Lalonde, François 1
1 Université de Montréal, Département de Mathématiques et de Statistique, C.P. 6128 Succ. Centre-ville, Montréal H3C 3J7, Québec, Canada
Electronic research announcements of the American Mathematical Society, Tome 12 (2006), pp. 1-12 Cet article a éte moissonné depuis la source American Mathematical Society

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We associate, to a Lagrangian submanifold $L$ of a symplectic manifold, a new homology, called the cluster homology of $L$, 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.
DOI : 10.1090/S1079-6762-06-00154-5

Cornea, Octav  1   ; Lalonde, François  1

1 Université de Montréal, Département de Mathématiques et de Statistique, C.P. 6128 Succ. Centre-ville, Montréal H3C 3J7, Québec, Canada 
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Cornea, Octav; Lalonde, François. Cluster homology: An overview of the construction and results. Electronic research announcements of the American Mathematical Society, Tome 12 (2006), pp. 1-12. doi: 10.1090/S1079-6762-06-00154-5

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