160 citations · 1.4k across the 97 of their papers we have counts for
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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…
Normal forms of dispersive scalar Poisson brackets with two independent variables
Guido Carlet, Matteo Casati, Sergey Shadrin
We classify the dispersive Poisson brackets with one dependent variable and two independent variables, with leading order of hydrodynamic type, up to Miura transformations. We show…
Towards an orbifold generalization of Zvonkine's -ELSV formula
Reinier Kramer, Danilo Lewanski, Alexandr Popolitov +1
We perform a key step towards the proof of Zvonkine's conjectural -ELSV formula that relates Hurwitz numbers with completed -cycles to the geometry of the moduli spaces o…
The tautological ring of via Pandharipande-Pixton-Zvonkine -spin relations
Reinier Kramer, Farrokh Labib, Danilo Lewanski +1
We use relations in the tautological ring of the moduli spaces derived by Pandharipande, Pixton, and Zvonkine from the Givental formula for the -s…