Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cuspidal curves and Heegaard Floer homology   We give bounds on the gap functions of the singularities of a cuspidal plane
curve of arbitrary genus, generalising recent work of Borodzik and Livingston.
We apply these inequalities to unicuspidal curves whose singularity has one
Puiseux pair: we prove two identities tying the parameters of the singularity,
the genus, and the degree of the curve; we improve on some degree-multiplicity
asymptotic inequalities; finally, we prove some finiteness results, we
construct infinite families of examples, and in some cases we give an almost
complete classification.

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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-bio
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The categories of this paper are: math-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: nlin
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: adap-org
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The categories of this paper are: econ
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The categories of this paper are: q-alg