Recursion relations for double ramification hierarchies

DOI10.1007/s00220-015-2535-1zbMath1343.37062arXiv1411.6797OpenAlexW2979287933MaRDI QIDQ261595

Paolo Rossi, Alexandr Buryak

Publication date: 24 March 2016

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.6797

zbMATH Keywords

hierarchydouble ramificationGromov-Witten

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Hodge theory in global analysis (58A14)

Related Items (19)

The bi-Hamiltonian structures of the DR and DZ hierarchies in the approximation up to genus one ⋮ Towards a bihamiltonian structure for the double ramification hierarchy ⋮ Towards a description of the double ramification hierarchy for Witten's \(r\)-spin class ⋮ New approaches to integrable hierarchies of topological type ⋮ Integrable systems of finite type from F-cohomological field theories without unit ⋮ A GENERALISATION OF WITTEN’S CONJECTURE FOR THE PIXTON CLASS AND THE NONCOMMUTATIVE KDV HIERARCHY ⋮ Quantum \(D_4\) Drinfeld-Sokolov hierarchy and quantum singularity theory ⋮ Laguerre ensemble: correlators, Hurwitz numbers and Hodge integrals ⋮ Semisimple flat F-manifolds in higher genus ⋮ Flat F-manifolds, F-CohFTs, and integrable hierarchies ⋮ Tau-structure for the double ramification hierarchies ⋮ Quantum hydrodynamics from large-\(n\) supersymmetric gauge theories ⋮ Integrability, quantization and moduli spaces of curves ⋮ DR/DZ equivalence conjecture and tautological relations ⋮ Extended \(r\)-spin theory in all genera and the discrete KdV hierarchy ⋮ Quadratic double ramification integrals and the noncommutative KdV hierarchy ⋮ Double ramification cycles and quantum integrable systems ⋮ On the spectral problem of the quantum KdV hierarchy ⋮ Hodge integrals and tau-symmetric integrable hierarchies of Hamiltonian evolutionary PDEs

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