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Superpolynomials for torus knots from evolution induced by cut-and-join operators

- P. Dunin-Barkowski, A. Mironov, A. Morozov, A. Sleptsov, A. Smirnov
- Mathematics
- 21 June 2011

A bstractThe colored HOMFLY polynomials, which describe Wilson loop averages in Chern-Simons theory, possess an especially simple representation for torus knots, which begins from quantum R-matrix… Expand

Interplay between MacDonald and Hall-Littlewood expansions of extended torus superpolynomials

- A. Mironov, A. Morozov, Shamil Shakirov, A. Sleptsov
- Mathematics
- 16 January 2012

A bstractIn [1] extended superpolynomials were introduced for the torus links T [m, mk + r], which are functions on the entire space of time variables and, at expense of reducing the topological… Expand

Checks of integrality properties in topological strings

- A. Mironov, A. Morozov, A. Morozov, P. Ramadevi, Vivek Singh, A. Sleptsov
- Mathematics
- 21 February 2017

A bstractTests of the integrality properties of a scalar operator in topological strings on a resolved conifold background or orientifold of conifold backgrounds have been performed for arborescent… Expand

Lattice theta constants vs Riemann theta constants and NSR superstring measures

- P. Dunin-Barkowski, A. Morozov, A. Sleptsov
- Mathematics
- 14 August 2009

We discuss relations between two different representations of hypothetical holomorphic NSR measures, based on two different ways of constructing the semi-modular forms of weight 8. One of these ways… Expand

Explicit computation of the Drinfeld associator in the case of the fundamental representation of gl(N)

- P. Dunin-Barkowski, A. Sleptsov, A. Smirnov
- Mathematics
- 29 December 2011

We solve the regularized Knizhnik–Zamolodchikov equation and find an explicit expression for the Drinfeld associator. We restrict ourselves to the case of the fundamental representation of gl(N).… Expand

Tabulating knot polynomials for arborescent knots

- A. Mironov, A. Morozov, P. Ramadevi, Vivek Singh, A. Sleptsov
- Mathematics
- 16 January 2016

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 knowledge is sufficient… Expand

Quantum Racah matrices and 3-strand braids in irreps R with |R| = 4

- A. Mironov, A. Morozov, A. Morozov, A. Sleptsov
- Mathematics
- 10 May 2016

AbstractWe describe the inclusive Racah matrices for the first non-(anti)symmetric rectangular representation R = [2, 2] for quantum groups Uq(slN). Most of them have sizes 2, 3, and 4 and are fully… Expand

Differential expansion for link polynomials

- C. Bai, J. Jiang,
+4 authors A. Sleptsov - Mathematics
- 26 September 2017

Colored HOMFLY polynomials for the pretzel knots and links

- A. Mironov, A. Morozov, A. Sleptsov
- Mathematics
- 29 December 2014

A bstractWith 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 from g + 1 two… Expand

Colored knot polynomials: HOMFLY in representation [2, 1]

- A. Mironov, A. Morozov, A. Morozov, A. Sleptsov
- Mathematics
- 12 August 2015

This paper starts a systematic description of colored knot polynomials, beginning from the first non-(anti)symmetric representation R = [2, 1]. The project involves several steps: (i)parametrization… Expand

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