Quadratic double ramification integrals and the noncommutative KdV hierarchy

DOI10.1112/blms.12464zbMath1469.14066arXiv1909.11617OpenAlexW2975342467WikidataQ114077913 ScholiaQ114077913MaRDI QIDQ5006394

Paolo Rossi, Alexandr Buryak

Publication date: 13 August 2021

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.11617

zbMATH Keywords

KdV hierarchyintersection numberHain's theta classMoyal torusramification integrals

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 (4)

admcycles -- a Sage package for calculations in the tautological ring of the moduli space of stable curves ⋮ The non-commutative Korteweg-de Vries hierarchy and combinatorial Pöppe algebra ⋮ A GENERALISATION OF WITTEN’S CONJECTURE FOR THE PIXTON CLASS AND THE NONCOMMUTATIVE KDV HIERARCHY ⋮ A Gromov-Witten theory for simple normal-crossing pairs without log geometry

Cites Work

• Unnamed Item
• Double ramification cycles and quantum integrable systems
• Recursion relations for double ramification hierarchies
• BCFG Drinfeld-Sokolov hierarchies and FJRW-theory
• Gromov-Witten classes, quantum cohomology, and enumerative geometry
• Tau-structure for the double ramification hierarchies
• Double ramification cycles and integrable hierarchies
• Extended \(r\)-spin theory in all genera and the discrete KdV hierarchy
• admcycles -- a Sage package for calculations in the tautological ring of the moduli space of stable curves
• DR/DZ equivalence conjecture and tautological relations
• Generalized boundary strata classes
• Double ramification cycles on the moduli spaces of curves
• Multiplicativity of the double ramification cycle
• Normal Functions and the Geometry of Moduli Spaces of Curves
• Commuting flows and conservation laws for noncommutative Lax hierarchies
• Integrals of $\psi$-classes over double ramification cycles
• Integrable Systems of Double Ramification Type
• Logarithmic series and Hodge integrals in the tautological ring. With an appendix by Don Zagier.

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