Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Displacement energy of Lagrangian 3-spheres   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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The categories of this paper are: physics
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The categories of this paper are: econ
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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: nlin
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
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The categories of this paper are: q-alg