Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact Lagrangian caps of Legendrian knots   We prove that any Legendrian knot in $(S^3,\xi_{std})$ bounds an exact
Lagrangian surface in $\mathbb{R}^4\setminus B^4$ after a sufficient number of
stabilizations. In order to show this, we construct a family combinatorial
moves on knot projections with some additional data that correspond to
Lagrangian cobordisms between knots.

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The categories of this paper are: hep-lat
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The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ex
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The categories of this paper are: physics
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The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
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The categories of this paper are: cs
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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an