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arXiv · 1911.03516

Displacement energy of Lagrangian 3-spheres

Yuhan Sun
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Abstract

We estimate the displacement energy of Lagrangian 3-spheres in a symplectic 6-manifold $X$, by estimating the displacement energy of a one-parameter family $L_{\lambda}$ of Lagrangian tori near the sphere. The proof establishes a new version of Lagrangian Floer theory with cylinder corrections, which is motivated by the change of open Gromov-Witten invariants under the conifold transition. We also make observations and computations on the classical Floer theory by using symplectic sum formula and Welschinger invariants.

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BibTeXRIS

Yuhan Sun. 2019-11-08. Displacement energy of Lagrangian 3-spheres. https://doi.org/10.4310/jsg.2023.v21.n3.a3

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