Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Trieste look at Knot Theory   This paper is base on talks which I gave in May, 2010 at Workshop in Trieste
(ICTP). In the first part we present an introduction to knots and knot theory
from an historical perspective, starting from Summerian knots and ending on Fox
3-coloring. We show also a relation between 3-colorings and the Jones
polynomial. In the second part we develop the general theory of Fox colorings
and show how to associate a symplectic structure to a tangle boundary so that
tangles becomes Lagrangians (a proof of this result has not been published
before).
  Chapter VI of the book "KNOTS: From combinatorics of knot diagrams to
combinatorial topology based on knots will be based on this paper.

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The categories of this paper are: ao-sci
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: atom-ph
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The categories of this paper are: cs
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The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: cond-mat
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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: q-fin
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The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas