Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Galois action on knots II: Proalgebraic string links and knots   We discuss an action of the Grothendieck-Teichm\"{u}ller proalgebraic group
on the linear span of proalgebraic tangles, oriented tangles completed by a
filtration of Vassiliev. The action yields a motivic structure on tangles. We
derive distinguished properties of the action particularly on proalgebraic
string links and on proalgebraic knots which can not be observed in the action
on proalgebraic braids. By exploiting the properties, we explicitly calculate
the inverse image of the trivial (the chordless) chord diagram under the
Kontsevich isomorphism.

31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
1
The categories of this paper are: cs