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arXiv · 1804.03882

Holomorphic disks and the disk potential for a fibered Lagrangian

Douglas Schultz
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Abstract

We consider a fibered Lagrangian $L$ in a compact symplectic fibration with small monotone fibers, and develop a strategy for lifting $J$-holomorphic disks with Lagrangian boundary from the base to the total space. In case $L$ is a product, we use this machinery to give a formula for the leading order potential and formulate an unobstructedness criteria for the $A_\infty$ algebra. We provide some explicit computations, one of which involves finding an embedded 2n+k dimensional submanifold of Floer-non-trivial tori in a 2n+2k dimensional fiber bundle.

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Douglas Schultz. 2018-04-11. Holomorphic disks and the disk potential for a fibered Lagrangian. https://doi.org/10.4310/jsg.2021.v19.n1.a4

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