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- W2963624897 abstract "A conjecture of Aganagic and Vafa relates the open Gromov-Witten theory of X = O P 1 ( − 1 , − 1 ) to the augmentation polynomial of Legendrian contact homology. We describe how to use this conjecture to compute genus zero, one boundary component open Gromov-Witten invariants for Lagrangian submanifolds L K ⊂ X obtained from the conormal bundles of knots K ⊂ S 3 . This computation is then performed for two non-toric examples (the figure-eight and three-twist knots). For ( r , s ) torus knots, the open Gromov-Witten invariants can also be computed using Atiyah-Bott localization. Using this result for the unknot and the ( 3 , 2 ) torus knot, we show that the augmentation polynomial can be derived from these open Gromov-Witten invariants." @default.
- W2963624897 created "2019-07-30" @default.
- W2963624897 creator A5041943046 @default.
- W2963624897 date "2017-10-17" @default.
- W2963624897 modified "2023-09-30" @default.
- W2963624897 title "Open Gromov-Witten Invariants from the Augmentation Polynomial" @default.
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- W2963624897 doi "https://doi.org/10.3390/sym9100232" @default.
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