Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Knot doubling operators and bordered Heegaard Floer homology   We use bordered Heegaard Floer homology to compute the tau invariant of a
family of satellite knots obtained via twisted infection along two components
of the Borromean rings, a generalization of Whitehead doubling. We show that
tau of the resulting knot depends only on the two twisting parameters and the
values of tau for the two companion knots. We also include some notes on
bordered Heegaard Floer homology that may serve as a useful introduction to the
subject.

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The categories of this paper are: supr-con
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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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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: hep-th
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The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-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
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The categories of this paper are: astro-ph
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The categories of this paper are: physics