Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Additivity of Handle Number and Morse-Novikov Number of a-small Knots   A knot is an a-small knot if its exterior does not contain closed
incompressible surfaces disjoint from some incompressible Seifert surface for
the knot. Using circular thin position for knots we prove that the handle
number is additive under the connected sum of two a-small knots. As a
consequence the Morse-Novikov number turns out to be additive under the
connected sum of two a-small knots.

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The categories of this paper are: plasm-ph
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The categories of this paper are: econ
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The categories of this paper are: hep-th
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The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: cs
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: supr-con
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The categories of this paper are: gr-qc