Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4666124 | Advances in Mathematics | 2013 | 33 Pages |
Abstract
Let (X,ω)(X,ω) be a symplectic manifold and LL be a Lagrangian submanifold diffeomorphic to SnSn, RPnRPn, 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)(X,L) in terms of open Gromov–Witten invariants of a pair (X−,L)(X−,L) determined by LL and the standard Gromov–Witten invariants of a symplectic manifold X+X+ determined by (X,L)(X,L). We also describe other applications of this approach.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Mohammad Farajzadeh Tehrani,