A polynomial bracket for the Dubrovin-Zhang hierarchies A Buryak, H Posthuma, S Shadrin Journal of Differential Geometry 92 (1), 153-185, 2012 | 73 | 2012 |
Double ramification cycles and integrable hierarchies A Buryak Communications in Mathematical Physics 336, 1085-1107, 2015 | 68 | 2015 |
Integrals of ψ-classes over double ramification cycles A Buryak, S Shadrin, L Spitz, D Zvonkine American Journal of Mathematics 137 (3), 699-737, 2015 | 62 | 2015 |
Open intersection numbers and the wave function of the KdV hierarchy A Buryak arXiv preprint arXiv:1409.7957, 2014 | 50 | 2014 |
On deformations of quasi-Miura transformations and the Dubrovin–Zhang bracket A Buryak, H Posthuma, S Shadrin Journal of Geometry and Physics 62 (7), 1639-1651, 2012 | 49 | 2012 |
Equivalence of the open KdV and the open Virasoro equations for the moduli space of Riemann surfaces with boundary A Buryak Letters in Mathematical Physics 105, 1427-1448, 2015 | 42 | 2015 |
Tau-structure for the double ramification hierarchies A Buryak, B Dubrovin, J Guéré, P Rossi Communications in Mathematical Physics 363, 191-260, 2018 | 41 | 2018 |
Matrix models and a proof of the open analog of Witten’s conjecture A Buryak, RJ Tessler Communications in Mathematical Physics 353, 1299-1328, 2017 | 40 | 2017 |
Integrable systems of double ramification type A Buryak, B Dubrovin, J Guéré, P Rossi International Mathematics Research Notices 2020 (24), 10381-10446, 2020 | 32 | 2020 |
Recursion relations for double ramification hierarchies A Buryak, P Rossi Communications in Mathematical Physics 342, 533-568, 2016 | 32 | 2016 |
Dubrovin-Zhang hierarchy for the Hodge integrals A Buryak arXiv preprint arXiv:1308.5716, 2013 | 29 | 2013 |
Closed extended r-spin theory and the Gelfand–Dickey wave function A Buryak, E Clader, RJ Tessler Journal of geometry and physics 137, 132-153, 2019 | 28 | 2019 |
Double ramification cycles and quantum integrable systems A Buryak, P Rossi Letters in mathematical physics 106, 289-317, 2016 | 28 | 2016 |
DR/DZ equivalence conjecture and tautological relations A Buryak, J Guéré, P Rossi Geometry & Topology 23 (7), 3537-3600, 2019 | 26 | 2019 |
Refined open intersection numbers and the Kontsevich-Penner matrix model A Alexandrov, A Buryak, RJ Tessler Journal of High Energy Physics 2017 (3), 1-41, 2017 | 20 | 2017 |
Quadratic double ramification integrals and the noncommutative KdV hierarchy A Buryak, P Rossi Bulletin of the London Mathematical Society 53 (3), 843-854, 2021 | 19 | 2021 |
Open -spin theory II: The analogue of Witten's conjecture for -spin disks A Buryak, E Clader, RJ Tessler arXiv preprint arXiv:1809.02536, 2018 | 19 | 2018 |
Towards a description of the double ramification hierarchy for Witten's r-spin class A Buryak, J Guéré Journal de Mathématiques Pures et Appliquées 106 (5), 837-865, 2016 | 19 | 2016 |
Extended r-spin theory in all genera and the discrete KdV hierarchy A Buryak, P Rossi Advances in Mathematics 386, 107794, 2021 | 18 | 2021 |
Open WDVV equations and Virasoro constraints A Basalaev, A Buryak Arnold Mathematical Journal 5 (2), 145-186, 2019 | 18 | 2019 |