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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

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3 results for “Ablowitz-Ladik”

Tri-Hamiltonian Structure of the Ablowitz-Ladik Hierarchymath-ph

Local tri-Hamiltonian structure for Ablowitz-Ladik hierarchy established.

problem Establishing a tri-Hamiltonian structure for the Ablowitz-Ladik hierarchy.

method Constructing a local tri-Hamiltonian structure and computing central invariants.

result Central invariants of one bi-Hamiltonian structure are 1/24, and dispersionless limit matches Frobenius manifold.

Ablowitz-Ladik hierarchy tri-Hamiltonian structure bi-Hamiltonian structures Gromov-Witten invariants Frobenius manifold

2021-08-07abs ↗pdf ↗

Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifoldnlin.SI

Constructs tri-Hamiltonian structure and Frobenius manifold for asymmetric gAL hierarchy

problem Tri-Hamiltonian structure and Frobenius manifold for asymmetric gAL hierarchy

method Local tri-Hamiltonian structure construction and Frobenius manifold construction

result Dispersionless limits of flows belong to Principal Hierarchy

tri-Hamiltonian Frobenius manifold Ablowitz-Ladik dispersionless

2026-06-24abs ↗pdf ↗

Generalized Frobenius Manifolds with Non-flat Unity and Integrable Hierarchiesmath-ph

Constructs integrable hierarchies for generalized Frobenius manifolds with non-flat unity.

problem Integrable hierarchies for generalized Frobenius manifolds with non-flat unity.

method Constructs a bihamiltonian integrable hierarchy of hydrodynamic type.

result Integrable hierarchy possesses Virasoro symmetries and a tau structure.

Frobenius manifold integrable hierarchy bihamiltonian hydrodynamic tau structure

2022-09-01abs ↗pdf ↗