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Alexandr Buryak
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A polynomial bracket for the Dubrovin-Zhang hierarchies
A Buryak, H Posthuma, S Shadrin
Journal of Differential Geometry 92 (1), 153-185, 2012
752012
Double ramification cycles and integrable hierarchies
A Buryak
Communications in Mathematical Physics 336, 1085-1107, 2015
722015
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
642015
Open intersection numbers and the wave function of the KdV hierarchy
A Buryak
arXiv preprint arXiv:1409.7957, 2014
502014
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
502012
Tau-structure for the double ramification hierarchies
A Buryak, B Dubrovin, J Guéré, P Rossi
Communications in Mathematical Physics 363, 191-260, 2018
432018
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
412015
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
382017
Integrable systems of double ramification type
A Buryak, B Dubrovin, J Guéré, P Rossi
International Mathematics Research Notices 2020 (24), 10381-10446, 2020
352020
Recursion relations for double ramification hierarchies
A Buryak, P Rossi
Communications in Mathematical Physics 342, 533-568, 2016
332016
Dubrovin-Zhang hierarchy for the Hodge integrals
A Buryak
arXiv preprint arXiv:1308.5716, 2013
302013
DR/DZ equivalence conjecture and tautological relations
A Buryak, J Guéré, P Rossi
Geometry & Topology 23 (7), 3537-3600, 2019
292019
Double ramification cycles and quantum integrable systems
A Buryak, P Rossi
Letters in mathematical physics 106, 289-317, 2016
292016
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
282019
Extended r-spin theory in all genera and the discrete KdV hierarchy
A Buryak, P Rossi
Advances in Mathematics 386, 107794, 2021
212021
Flat F-manifolds, F-CohFTs, and integrable hierarchies
A Arsie, A Buryak, P Lorenzoni, P Rossi
Communications in Mathematical Physics 388 (1), 291-328, 2021
202021
Quadratic double ramification integrals and the noncommutative KdV hierarchy
A Buryak, P Rossi
Bulletin of the London Mathematical Society 53 (3), 843-854, 2021
202021
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
202018
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
202017
Semisimple flat F-manifolds in higher genus
A Arsie, A Buryak, P Lorenzoni, P Rossi
Communications in Mathematical Physics 397 (1), 141-197, 2023
192023
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