Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Markov trace on the algebra of braids and ties   We prove that the so-called t algebra of braids and ties supports a Markov
trace. Further, by using this trace in the Jones' recipe, we define invariant
polynomials for classical knots and singular knots. Our invariants have three
parameters. The invariant of classical knots is an extension of the Homflypt
polynomial and the invariant of singular knots is an extension of an invariant
of singular knots previously defined by S. Lambropoulou and the second author.

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The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
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The categories of this paper are: adap-org
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
3
The categories of this paper are: physics
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The categories of this paper are: q-alg
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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: cmp-lg
0
The categories of this paper are: hep-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph