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math-ph2020★ 6 cited
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…
math-ph2017★ 18 cited
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…