Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Brunnian local moves of knots and Vassiliev invariants   K. Habiro gave a neccesary and sufficient condition for knots to have the
same Vassiliev invariants in terms of $C_k$-move. In this paper we give another
geometric condition in terms of Brunnian local move. The proof is simple and
self-contained.

26
The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
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The categories of this paper are: stat
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The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: eess