Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topologically Distinct Lagrangian and Symplectic Fillings   We construct infinitely many Legendrian links in the standard contact
$\mathbb{R}^3$ with arbitrarily many topologically distinct Lagrangian
fillings. The construction is used to find links in $S^3$ that bound
topologically distinct pieces of algebraic curves in $B^4 \subset
\mathbb{C}^2$, is applied to find contact 3-manifolds with topologically
distinct symplectic fillings, and is generalized to higher dimensions.

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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
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The categories of this paper are: physics
4
The categories of this paper are: cond-mat
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th