Open Gromov–Witten sum-formula conjecture for Lagrangian real projective 3-spaces
Open Gromov–Witten sum-formula conjecture for Lagrangian real projective 3-spaces
Let be an almost Calabi–Yau 3-fold and let be an embedded Lagrangian. For odd classes , the open Gromov–Witten invariants are considered in relation to an almost Calabi–Yau constructed from and homology classes constructed from . Open Gromov–Witten sum-formula conjecture. For odd classes , the invariants can be expressed as a function of ordinary Gromov–Witten invariants of , using the homology classes . The proposed relation would connect open invariants for Lagrangian real projective 3-spaces with ordinary invariants of a symplectically cut-out manifold, but the source does not provide a formula or establish the claim.
Sources & referencesView supporting material
Primary source
Mohammad Farajzadeh Tehrani, “Open GW theory on symplectic manifolds and symplectic cutting”, arXiv:1003.4325 (2012).
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