Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Knots and 4-manifolds   These notes are based on the lectures given by the author during Winter
Braids IX in Reims in March 2019. We discuss slice knots and why they are
interesting, as well as some ways to decide if a given knot is or is not slice.
We describe various methods for drawing diagrams of double branched covers of
knots in the 3-sphere and surfaces in the 4-ball, and how these can be useful
to decide if an alternating knot is slice. We include a description of the
computer search for slice alternating knots due to the author and Frank
Swenton.

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The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
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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: chao-dyn
0
The categories of this paper are: hep-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
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The categories of this paper are: adap-org
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: econ