Towards a bihamiltonian structure for the double ramification hierarchy
DOI10.1007/s11005-020-01341-6zbMath1461.14034arXiv2007.00846OpenAlexW3127791888MaRDI QIDQ829960
Paolo Rossi, Sergey Shadrin, Alexandr Buryak
Publication date: 7 May 2021
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.00846
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Families, moduli of curves (algebraic) (14H10) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Double ramification cycles and quantum integrable systems
- Recursion relations for double ramification hierarchies
- Towards a description of the double ramification hierarchy for Witten's \(r\)-spin class
- Bihamiltonian cohomologies and integrable hierarchies. I: A special case
- On deformations of quasi-Miura transformations and the Dubrovin-Zhang bracket
- Jacobi structures of evolutionary partial differential equations
- Deformations of semisimple bihamiltonian structures of hydrodynamic type
- Intersection theory on the moduli space of curves and the matrix Airy function
- Bihamiltonian hierarchies in 2D topological field theory at one-loop approximation
- Deformations of semisimple Poisson pencils of hydrodynamic type are unobstructed
- Gromov-Witten classes, quantum cohomology, and enumerative geometry
- A polynomial bracket for the Dubrovin-Zhang hierarchies
- Frobenius manifolds and Virasoro constraints
- Tau-structure for the double ramification hierarchies
- Integrability, quantization and moduli spaces of curves
- Double ramification cycles and integrable hierarchies
- DR/DZ equivalence conjecture and tautological relations
- Lecture notes on Bihamiltonian structures and their central invariants
- Double ramification cycles on the moduli spaces of curves
- Quantum \(D_4\) Drinfeld-Sokolov hierarchy and quantum singularity theory
- Normal Functions and the Geometry of Moduli Spaces of Curves
- Tautological relations and the $r$-spin Witten conjecture
- Central invariants revisited
- Korteweg-deVries Equation and Generalizations. V. Uniqueness and Nonexistence of Polynomial Conservation Laws
- Integrals of $\psi$-classes over double ramification cycles
- On Hamiltonian perturbations of hyperbolic systems of conservation laws I: Quasi‐Triviality of bi‐Hamiltonian perturbations
- Relations on \overline{ℳ}_{ℊ,𝓃} via 3-spin structures
- Logarithmic series and Hodge integrals in the tautological ring. With an appendix by Don Zagier.
This page was built for publication: Towards a bihamiltonian structure for the double ramification hierarchy
