Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quotient Quandles and the Fundamental Latin Alexander Quandle   Defined by Joyce and Matveev, the fundamental quandle is a complete invariant
of oriented classical knots. We consider invariants of knots defined from
quotients of the fundamental quandle. In particular, we introduce the
fundamental Latin Alexander quandle of a knot and consider its Gr\"obner
basis-valued invariants, which generalize the Alexander polynomial. We show via
example that the invariant is not determined by the generalized Alexander
polynomial for virtual knots.

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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
9
The categories of this paper are: nlin
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The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: hep-th
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The categories of this paper are: stat