Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sutured Heegaard diagrams for knots   We define sutured Heegaard diagrams for null-homologous knots in 3-manifolds.
These diagrams are useful for computing the knot Floer homology at the top
filtration level. As an application, we give a formula for the knot Floer
homology of a Murasugi sum. Our result echoes Gabai's earlier works. We also
show that for so-called 'semifibred' satellite knots, the top filtration term
of the knot Floer homology is isomorphic to the counterpart of the companion.

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The categories of this paper are: physics
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The categories of this paper are: eess
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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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: supr-con
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The categories of this paper are: hep-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th