Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Biracks and Switch Braid Quivers   We consider birack and switch colorings of braids. We define a switch
structure on the set of permutation representations of the braid group and
consider when such a representation is a switch automorphism. We define
quiver-valued invariants of braids using finite switches and biracks and use
these to categorify the birack 2-cocycle invariant for braids. We obtain new
polynomial invariants of braids via decategorification of these quivers.

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The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: nlin
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The categories of this paper are: solv-int
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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom