Open GW theory on symplectic manifolds and symplectic cutting

Mohammad Farajzadeh Tehrani

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arXiv · 1003.4325

Open GW theory on symplectic manifolds and symplectic cutting

Mohammad Farajzadeh Tehrani

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Abstract

Let $(X,\om)$ be a symplectic manifold and $L$ be a Lagrangian submanifold diffeomorphic to $S^n$, $\R\P^n$, or a Lens space of a certain type. Using the symplectic cut and symplectic sum constructions, we express the open Gromov-Witten invariants of $(X,L)$ in terms of open Gromov-Witten invariants of a pair $(X_-,L)$ determined by $L$ and the standard Gromov-Witten invariants of a symplectic manifold $X_+$ determined by $(X,L)$. We also describe other applications of this approach.

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BibTeX RIS

Mohammad Farajzadeh Tehrani. 2010-03-23. Open GW theory on symplectic manifolds and symplectic cutting. https://arxiv.org/abs/1003.4325

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