Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Slice and Gordian numbers of track knots   We present a class of knots associated with labelled generic immersions of
intervals into the plane and compute their Gordian numbers and 4-dimensional
invariants. At least 10% of the knots in Rolfsen's table belong to this class
of knots. We call them track knots. They are contained in the class of
quasipositive knots. In this connection, we classify quasipositive knots and
strongly quasipositive knots up to 10 crossings.

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The categories of this paper are: math-ph
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The categories of this paper are: physics
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The categories of this paper are: dg-ga
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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: bayes-an
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The categories of this paper are: astro-ph
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The categories of this paper are: supr-con
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg