DR/DZ equivalence conjecture and tautological relations

DOI10.2140/gt.2019.23.3537zbMath1469.14065arXiv1705.03287OpenAlexW3105378167WikidataQ122983842 ScholiaQ122983842MaRDI QIDQ2285043

Jérémy Guéré, Paolo Rossi, Alexandr Buryak

Publication date: 16 January 2020

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.03287

zbMATH Keywords

cohomologypartial differential equationsmoduli space of curvesdouble ramification cycle

Mathematics Subject Classification ID

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)

Related Items (8)

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 ⋮ A GENERALISATION OF WITTEN’S CONJECTURE FOR THE PIXTON CLASS AND THE NONCOMMUTATIVE KDV HIERARCHY ⋮ Flat F-manifolds, F-CohFTs, and integrable hierarchies ⋮ Integrability, quantization and moduli spaces of curves ⋮ Extended \(r\)-spin theory in all genera and the discrete KdV hierarchy ⋮ Quadratic double ramification integrals and the noncommutative KdV hierarchy ⋮ The quantum Witten-Kontsevich series and one-part double Hurwitz numbers

Cites Work

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• Intersection theory on \overline{ℳ}_{1,4} and elliptic Gromov-Witten invariants
• Integrals of $\psi$-classes over double ramification cycles
• Relations on \overline{ℳ}_{ℊ,𝓃} via 3-spin structures
• Integrable Systems of Double Ramification Type

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