Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Virtual knot cobordism and bounding the slice genus   In this paper, we compute the slice genus for many low-crossing virtual
knots. For instance, we show that 1295 out of 92800 virtual knots with 6 or
fewer crossings are slice, and that all but 248 of the rest are not slice. Key
to these results are computations of Turaev's graded genus, which we show
extends to give an invariant of virtual knot concordance. The graded genus is
remarkably effective as a slice obstruction, and we develop an algorithm that
applies virtual unknotting operations to determine the slice genus of many
virtual knots with 6 or fewer crossings.

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The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom