Abstract
Let $M$ be a symplectic manifold equipped with a Hamiltonian circle action and let $L$ be an invariant Lagrangian submanifold of $M$. We study the problem of counting holomorphic disc sections of the trivial $M$-bundle over a disc with boundary in $L$ through degeneration. We obtain a conjectural relationship between the potential function of $L$ and the Seidel element associated to the circle action. When applied to a Lagrangian torus fibre of a semi-positive toric manifold, this degeneration argument reproduces a conjecture (now a theorem) of Chan-Lau-Leung-Tseng [8, 9] relating certain correction terms appearing in the Seidel elements with the potential function.
Citation
Eduardo González. Hiroshi Iritani. "Seidel elements and potential functions of holomorphic disc counting." Tohoku Math. J. (2) 69 (3) 327 - 368, 2017. https://doi.org/10.2748/tmj/1505181621
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