Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rasmussen invariant, Slice-Bennequin inequality, and sliceness of knots   We use recently introduced Rasmussen invariant to find knots that are
topologically locally-flatly slice but not smoothly slice. We note that this
invariant can be used to give a combinatorial proof of the slice-Bennequin
inequality. Finally, we compute the Rasmussen invariant for quasipositive knots
and show that most of our examples of non-slice knots are not quasipositive
and, to the best of our knowledge, were previously unknown.

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The categories of this paper are: alg-geom
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: econ
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: hep-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: stat