Towards a description of the double ramification hierarchy for Witten's $r$-spin class
@article{Buryak2015TowardsAD, title={Towards a description of the double ramification hierarchy for Witten's \$r\$-spin class}, author={Alexandr Buryak and J'er'emy Gu'er'e}, journal={arXiv: Mathematical Physics}, year={2015} }
15 Citations
Integrable Systems of Double Ramification Type
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In this paper we study various aspects of the double ramification (DR) hierarchy, introduced by the 1st author, and its quantization. We extend the notion of tau-symmetry to quantum integrable…
Extended r-spin theory in all genera and the discrete KdV hierarchy
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Tau-Structure for the Double Ramification Hierarchies
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In this paper we continue the study of the double ramification hierarchy of Buryak (Commun Math Phys 336(3):1085–1107, 2015). After showing that the DR hierarchy satisfies tau-symmetry we define its…
Tau-Structure for the Double Ramification Hierarchies
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In this paper we continue the study of the double ramification hierarchy of Buryak (Commun Math Phys 336(3):1085–1107, 2015). After showing that the DR hierarchy satisfies tau-symmetry we define its…
The Bi-Hamiltonian Structures of the DR and DZ Hierarchies in the Approximation up to Genus One
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- 2021
In a recent paper, given an arbitrary homogeneous cohomological field theory ( CohFT), Rossi, Shadrin, and the first author proposed a simple formula for a bracket on the space of local functionals,…
Quantum D4 Drinfeld–Sokolov hierarchy and quantum singularity theory
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Integrability, Quantization and Moduli Spaces of Curves
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This paper has the purpose of presenting in an organic way a new approach to integrable (1+1)-dimensional field systems and their systematic quantization emerging from intersection theory of the…
Equivariant Landau--Ginzburg mirror symmetry
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We give a new proof of the computation of Hodge integrals we have previously obtained for the quantum singularity (FJRW) theory of chain polynomials. It uses the classical localization formula of…
Hodge integrals in FJRW theory
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We study higher genus Fan--Jarvis--Ruan--Witten theory of any chain polynomial with any group of symmetries. Precisely, we give an explicit way to compute the cup product of Polishchuk and Vaintrob's…
Towards a bihamiltonian structure for the double ramification hierarchy
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- 2021
We propose a remarkably simple and explicit conjectural formula for a bihamiltonian structure of the double ramification hierarchy corresponding to an arbitrary homogeneous cohomological field…
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