Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Invariants of Braided Ribbon Networks   We present a consistent definition for braided ribbon networks in
3-dimensional manifolds, unifying both three and four valent networks in a
single framework. We present evolution moves for these networks which are dual
to the Pachner moves on simplices and present an invariant of this evolution.
Finally we relate these results back to previous work in the subject.

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The categories of this paper are: astro-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
1
The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg