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- W2015059094 abstract "Let $$L$$ be a closed orientable Lagrangian submanifold of a closed symplectic six-manifold $$(X , omega )$$ . We assume that the first homology group $$H_1 (L ; A)$$ with coefficients in a commutative ring $$A$$ injects into the group $$H_1 (X ; A)$$ and that $$X$$ contains no Maslov zero pseudo-holomorphic disc with boundary on $$L$$ . Then, we prove that for every generic choice of a tame almost-complex structure $$J$$ on $$X$$ , every relative homology class $$d in H_2 (X , L ; mathbb{Z })$$ and adequate number of incidence conditions in $$L$$ or $$X$$ , the weighted number of $$J$$ -holomorphic discs with boundary on $$L$$ , homologous to $$d$$ , and either irreducible or reducible disconnected, which satisfy the conditions, does not depend on the generic choice of $$J$$ , provided that at least one incidence condition lies in $$L$$ . These numbers thus define open Gromov–Witten invariants in dimension six, taking values in the ring $$A$$ ." @default.
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- W2015059094 date "2012-11-28" @default.
- W2015059094 modified "2023-10-13" @default.
- W2015059094 title "Open Gromov–Witten invariants in dimension six" @default.
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- W2015059094 doi "https://doi.org/10.1007/s00208-012-0883-0" @default.
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