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| HAL : hal-00631610, version 1 |
| arXiv : 1110.2705 |
| Fiche détaillée |  Récupérer au format |
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| Versions disponibles : | v1 (12-10-2011) | v2 (22-01-2013) |
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| Open Gromov-Witten invariants in dimension four |
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| Jean-Yves Welschinger 1 |
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| (12/10/2011) |
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| Given a closed orientable Lagrangian surface L in a closed symplectic four-manifold X together with a relative homology class d in H_2 (X , L ; Z) with vanishing boundary in H_1 (L ; Z), we prove that the algebraic number of J-holomorphic discs with boundary on L, homologous to d and passing through the adequate number of points neither depends on the choice of the points nor on the generic choice of the almost-complex structure J. We furthermore get analogous open Gromov-Witten invariants by counting, for every non-negative integer k, unions of k discs instead of single discs. |
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| 1 : | Institut Camille Jordan (ICJ) |
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CNRS : UMR5208 – Université Claude Bernard - Lyon I – Ecole Centrale de Lyon – Institut National des Sciences Appliquées (INSA) - Lyon |
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| Domaine | : | Mathématiques/Géométrie symplectique |
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| holomorphic discs – Gromov-Witten invariants |
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| hal-00631610, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00631610 | |
| oai:hal.archives-ouvertes.fr:hal-00631610 | |
| Contributeur : Jean-Yves Welschinger | |
| Soumis le : Mercredi 12 Octobre 2011, 18:18:40 | |
| Dernière modification le : Vendredi 6 Juillet 2012, 14:47:10 | |
