Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the concordance genus of topologically slice knots   The concordance genus of a knot K is the minimum Seifert genus of all knots
smoothly concordant to K. Concordance genus is bounded below by the 4-ball
genus and above by the Seifert genus. We give a lower bound for the concordance
genus of K coming from the knot Floer complex of K. As an application, we prove
that there are topologically slice knots with 4-ball genus equal to one and
arbitrarily large concordance genus.

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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: cs
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The categories of this paper are: math-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol