Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multivariate Alexander quandles, IV. The medial quandle of a link   Joyce observed that the Alexander invariant and the medial quandle of a
classical knot are equivalent to each other, as invariants. In the present
paper, we discuss the rather complicated extension of Joyce's observation to
several different medial quandles and reduced (one-variable) Alexander modules
associated with classical links. The theme is that for links, medial quandles
provide stronger invariants than reduced Alexander modules.

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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: stat
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The categories of this paper are: q-alg
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The categories of this paper are: nlin
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: physics
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ph
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol