Starting with a gentle approach to the Alday–Gaiotto–Tachikawa (AGT) correspondence
from its 6d origin, these notes provide a wide (albeit shallow) survey of the literature on …

We study the connection between topological strings and contact homology recently
proposed in the context of knot invariants. In particular, we establish the proposed relation …

We discuss using the cabling procedure to calculate colored HOMFLY polynomials. We
describe how it can be used and how the projectors and R-matrices needed for this …

A bstract With the help of the evolution method we calculate all HOMFLY polynomials in all
symmetric representations [r] for a huge family of (generalized) pretzel links, which are made …

By now it is well established that the quantum dimensions of descendants of the adjoint
representation can be described in a universal form, independent of a particular family of …

A bstract Many knots and links in S 3 can be drawn as gluing of three manifolds with one or
more four-punctured S 2 boundaries. We call these knot diagrams as double fat graphs …

We discuss a connection of HOMFLY polynomials with Hurwitz covers and represent a
generating function for the HOMFLY polynomial of a given knot in all representations as …

A very simple expression is conjectured for arbitrary colored Jones and HOMFLY
polynomials of a rich (g+ 1)-parametric family of pretzel knots and links. The answer for the …

A bstract We present a universal knot polynomials for 2-and 3-strand torus knots in adjoint
representation, by universalization of appropriate Rosso-Jones formula. According to …

Arborescent knots are those which can be represented in terms of double fat graphs or
equivalently as tree Feynman diagrams. This is the class of knots for which the present …