18 citations · 64 across the 9 of their papers we have counts for
4 papers · 1 filter
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…
Topological Recursion for the extended Ooguri-Vafa partition function of colored HOMFLY-PT polynomials of torus knots
Petr Dunin-Barkowski, Maxim Kazarian, Aleksandr Popolitov +2
We prove that topological recursion applied to the spectral curve of colored HOMFLY-PT polynomials of torus knots reproduces the n-point functions of a particular partition functio…
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…
Combinatorial structure of colored HOMFLY-PT polynomials for torus knots
Petr Dunin-Barkowski, Aleksandr Popolitov, Sergey Shadrin +1
We rewrite the (extended) Ooguri-Vafa partition function for colored HOMFLY-PT polynomials for torus knots in terms of the free-fermion (semi-infinite wedge) formalism, making it v…