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• W2898192986 abstract "We find a relation between Lagrangian Floer pairing of a symplectic manifold and Kapustin-Li pairing of the mirror Landau-Ginzburg model under localized mirror functor. They are conformally equivalent with an interesting conformal factor $(vol^{Floer}/vol)^2$, which can be described as a ratio of Lagrangian Floer volume class and classical volume class. For this purpose, we introduce $B$-invariant of Lagrangian Floer cohomology with values in Jacobian ring of the mirror potential function. And we prove what we call a multi-crescent Cardy identity under certain conditions, which is a generalized form of Cardy identity. As an application, we discuss the case of general toric manifold, and the relation to the work of Fukaya-Oh-Ohta-Ono and their $Z$-invariant. Also, we compute the conformal factor $(vol^{Floer}/vol)^2$ for the elliptic curve quotient $mathbb{P}^1_{3,3,3}$, which is expected to be related to the choice of a primitive form." @default.
• W2898192986 created "2018-11-02" @default.
• W2898192986 creator A5016828836 @default.
• W2898192986 creator A5020120747 @default.
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• W2898192986 date "2019-11-12" @default.
• W2898192986 modified "2023-10-18" @default.
• W2898192986 title "Pairings in Mirror Symmetry Between a Symplectic Manifold and a Landau–Ginzburg B-Model" @default.
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• W2898192986 doi "https://doi.org/10.1007/s00220-019-03611-4" @default.
• W2898192986 hasPublicationYear "2019" @default.
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