5 papers
Direct proof of one-hook scaling property for Alexander polynomial from Reshetikhin-Turaev formalism
Andrey Morozov, Aleksandr Popolitov, Alexei Sleptsov
We prove that normalized colored Alexander polynomial (the limit of colored HOMFLY-PT polynomial) evaluated for one-hook (L-shape) representation R possesses scal…
Harer-Zagier formulas for knot matrix models
Alexei Morozov, Aleksandr Popolitov, Shamil Shakirov
Knot matrix models are defined so that the averages of characters are equal to knot polynomials. From this definition one can extract single trace averages and generation functions…
Exact SUSY Wilson loops on from -Virasoro constraints
Luca Cassia, Rebecca Lodin, Aleksandr Popolitov +1
Using the ideas from the BPS/CFT correspondence, we give an explicit recursive formula for computing supersymmetric Wilson loop averages in 3d Yang-Mills-Chern-Simo…
Evolution for Khovanov polynomials for figure-eight-like family of knots
Petr Dunin-Barkowski, Aleksandr Popolitov, Svetlana Popolitova
We look at how evolution method deforms, when one considers Khovanov polynomials instead of Jones polynomials. We do this for the figure-eight-like knots (also known as 'double bra…
Solving q-Virasoro constraints
Rebecca Lodin, Aleksandr Popolitov, Shamil Shakirov +1
We show how q-Virasoro constraints can be derived for a large class of (q,t)-deformed eigenvalue matrix models by an elementary trick of inserting certain q-difference operators un…