Geodesic
Holomorphic disks and topological invariants for closed three-manifolds
Peter Ozsváth1 ; Zoltán Szabó2
1 Department of Mathematics, Columbia University, New York, NY 10025, United States
2 Department of Mathematics, Princeton University, Princeton, NJ 08544, United States
Annals of mathematics, Tome 159 (2004) no. 3, pp. 1027-1158.

Voir la notice de l'article provenant de la source Annals of Mathematics website

The aim of this article is to introduce certain topological invariants for closed, oriented three-manifolds $Y$, equipped with a ${\mathrm{Spin}}^c$ structure. Given a Heegaard splitting of $Y=U_{0}\cup_{\Sigma}U_{1}$, these theories are variants of the Lagrangian Floer homology for the $g$-fold symmetric product of $\Sigma$ relative to certain totally real subspaces associated to $U_{0}$ and $U_{1}$.
DOI : 10.4007/annals.2004.159.1027

Peter Ozsváth 1 ; Zoltán Szabó 2

1 Department of Mathematics, Columbia University, New York, NY 10025, United States
2 Department of Mathematics, Princeton University, Princeton, NJ 08544, United States 
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Peter Ozsváth; Zoltán Szabó. Holomorphic disks and topological invariants for closed three-manifolds. Annals of mathematics, Tome 159 (2004) no. 3, pp. 1027-1158. doi : 10.4007/annals.2004.159.1027. http://geodesic.mathdoc.fr/articles/10.4007/annals.2004.159.1027/

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