Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equations on knot polynomials and 3d/5d duality   We briefly review the current situation with various relations between
knot/braid polynomials (Chern-Simons correlation functions), ordinary and
extended, considered as functions of the representation and of the knot
topology. These include linear skein relations, quadratic Plucker relations, as
well as "differential" and (quantum) A-polynomial structures. We pay a special
attention to identity between the A-polynomial equations for knots and Baxter
equations for quantum relativistic integrable systems, related through
Seiberg-Witten theory to 5d super-Yang-Mills models and through the AGT
relation to the q-Virasoro algebra. This identity is an important ingredient of
emerging a 3d-5d generalization of the AGT relation. The shape of the Baxter
equation (including the values of coefficients) depend on the choice of the
knot/braid. Thus, like the case of KP integrability, where (some, so far torus)
knots parameterize particular points of the Universal Grassmannian, in this
relation they parameterize particular points in the moduli space of many-body
integrable systems of relativistic type.

37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol