Superpolynomials for torus knots from evolution induced by cut-and-join operators P Dunin-Barkowski, A Mironov, A Morozov, A Sleptsov, A Smirnov Journal of High Energy Physics 2013 (3), 1-87, 2013 | 167 | 2013 |
Identification of the Givental formula with the spectral curve topological recursion procedure P Dunin-Barkowski, N Orantin, S Shadrin, L Spitz Communications in Mathematical Physics, 2014 | 164 | 2014 |
Quantum spectral curve for the Gromov–Witten theory of the complex projective line P Dunin-Barkowski, M Mulase, P Norpury, A Popolitov, S Shadrin arXiv preprint arXiv:1312.5336, 2013 | 54* | 2013 |
Polynomiality of Hurwitz numbers, Bouchard–Marino conjecture, and a new proof of the ELSV formula P Dunin-Barkowski, M Kazarian, N Orantin, S Shadrin, L Spitz Advances in Mathematics 279, 67-103, 2015 | 46 | 2015 |
Dubrovin’s superpotential as a global spectral curve P Dunin-Barkowski, P Norbury, N Orantin, A Popolitov, S Shadrin Journal of the Institute of Mathematics of Jussieu 18 (3), 449-497, 2019 | 44 | 2019 |
Kontsevich integral for knots and Vassiliev invariants P Dunin-Barkowski, A Sleptsov, A Smirnov International Journal of Modern Physics A 28 (17), 1330025, 2013 | 38* | 2013 |
Combinatorics of loop equations for branched covers of sphere P Dunin-Barkowski, N Orantin, A Popolitov, S Shadrin International Mathematics Research Notices 2018 (18), 5638-5662, 2018 | 36 | 2018 |
Topological recursion for Kadomtsev–Petviashvili tau functions of hypergeometric type B Bychkov, P Dunin‐Barkowski, M Kazarian, S Shadrin Journal of the London Mathematical Society 109 (6), e12946, 2024 | 29 | 2024 |
Loop equations and a proof of Zvonkine's -ELSV formula P Dunin-Barkowski, R Kramer, A Popolitov, S Shadrin arXiv preprint arXiv:1905.04524, 2019 | 28 | 2019 |
Givental graphs and inversion symmetry P Dunin-Barkowski, S Shadrin, L Spitz Letters in Mathematical Physics, 2013 | 27 | 2013 |
Polynomiality of orbifold Hurwitz numbers, spectral curve, and a new proof of the Johnson–Pandharipande–Tseng formula P Dunin-Barkowski, D Lewanski, A Popolitov, S Shadrin Journal of the London Mathematical Society 92 (3), 547-565, 2015 | 25 | 2015 |
Lattice theta constants vs Riemann theta constants and NSR superstring measures P Dunin-Barkowski, A Morozov, A Sleptsov Journal of High Energy Physics, 072, 2009 | 23 | 2009 |
Primary invariants of Hurwitz Frobenius manifolds P Dunin-Barkowski, P Norbury, N Orantin, A Popolitov, S Shadrin arXiv preprint arXiv:1605.07644, 2016 | 22 | 2016 |
Explicit closed algebraic formulas for Orlov–Scherbin -point functions B Bychkov, P Dunin-Barkowski, M Kazarian, S Shadrin Journal de l’École polytechnique—Mathématiques 9, 1121-1158, 2022 | 19 | 2022 |
Combinatorial structure of colored HOMFLY-PT polynomials for torus knots P Dunin-Barkowski, A Popolitov, S Shadrin, A Sleptsov arXiv preprint arXiv:1712.08614, 2017 | 16 | 2017 |
Explicit computation of the Drinfeld associator in the case of the fundamental representation of gl(N) P Dunin-Barkowski, A Sleptsov, A Smirnov Journal of Physics A: Mathematical and Theoretical 45 (3), 385204, 2012 | 15 | 2012 |
Topological Recursion for the extended Ooguri-Vafa partition function of colored HOMFLY-PT polynomials of torus knots P Dunin-Barkowski, M Kazarian, A Popolitov, S Shadrin, A Sleptsov arXiv preprint arXiv:2010.11021, 2020 | 14 | 2020 |
Cut-and-join equation for monotone Hurwitz numbers revisited P Dunin-Barkowski, R Kramer, A Popolitov, S Shadrin Journal of Geometry and Physics 137, 1-6, 2019 | 13 | 2019 |
Generalised Ordinary vs Fully Simple Duality for n-Point Functions and a Proof of the Borot–Garcia-Failde Conjecture B Bychkov, P Dunin-Barkowski, M Kazarian, S Shadrin Communications in Mathematical Physics 402 (1), 665-694, 2023 | 12 | 2023 |
Geometric Hamiltonian formalism for reparameterization-invariant theories with higher derivatives PI Dunin-Barkowski, AV Sleptsov Theoretical and Mathematical Physics 158, 61-81, 2009 | 12 | 2009 |