Tau-structure for the double ramification hierarchies
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Publication:1989925
DOI10.1007/s00220-018-3235-4zbMath1431.53095arXiv1602.05423OpenAlexW3099154913WikidataQ59882186 ScholiaQ59882186MaRDI QIDQ1989925
Jérémy Guéré, Paolo Rossi, Alexandr Buryak, B. A. Dubrovin
Publication date: 29 October 2018
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1602.05423
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) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)
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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, Bihamiltonian cohomologies and integrable hierarchies. II: The tau structures, On tau-functions for the KdV hierarchy, 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, Unnamed Item, A brief survey of FJRW theory, Flat F-manifolds, F-CohFTs, and integrable hierarchies, 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, Affine Kac-Moody algebras and tau-functions for the Drinfeld-Sokolov hierarchies: the matrix-resolvent method, The quantum Witten-Kontsevich series and one-part double Hurwitz numbers
Uses Software
Cites Work
- Double ramification cycles and quantum integrable systems
- Hodge integrals and tau-symmetric integrable hierarchies of Hamiltonian evolutionary PDEs
- Recursion relations for double ramification hierarchies
- Witten's \(D_4\) integrable hierarchies conjecture
- Matrix factorizations and cohomological field theories
- Towards a description of the double ramification hierarchy for Witten's \(r\)-spin class
- A Landauc-Ginzburg mirror theorem without concavity
- The Witten equation, mirror symmetry, and quantum singularity theory
- On deformations of quasi-Miura transformations and the Dubrovin-Zhang bracket
- The structure of 2D semi-simple field theories
- BCFG Drinfeld-Sokolov hierarchies and FJRW-theory
- Rational reductions of the 2D-Toda hierarchy and mirror symmetry
- LG/CY correspondence: the state space isomorphism
- A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory.
- Landau-Ginzburg/Calabi-Yau correspondence for quintic three-folds via symplectic transformations
- Singularities and topology of hypersurfaces
- Intersection theory on the moduli space of curves and the matrix Airy function
- Bihamiltonian hierarchies in 2D topological field theory at one-loop approximation
- Hodge integrals in FJRW theory
- Gromov-Witten classes, quantum cohomology, and enumerative geometry
- A polynomial bracket for the Dubrovin-Zhang hierarchies
- Double ramification cycles and integrable hierarchies
- Landau-Ginzburg/Calabi-Yau correspondence, global mirror symmetry and Orlov equivalence
- Phases of \(N=2\) theories in two dimensions
- A global mirror symmetry framework for the Landau-Ginzburg/Calabi-Yau correspondence
- Analyticity of the total ancestor potential in singularity theory
- Normal Functions and the Geometry of Moduli Spaces of Curves
- Tautological relations and the $r$-spin Witten conjecture
- Intersection theory on \overline{ℳ}_{1,4} and elliptic Gromov-Witten invariants
- Integrable systems and holomorphic curves
- Integrals of $\psi$-classes over double ramification cycles
- Equivariant Gromov - Witten Invariants
- Relations on \overline{ℳ}_{ℊ,𝓃} via 3-spin structures
- Nijenhuis operator in contact homology and descendant recursion in symplectic field theory
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