Fifty years of the finite nonperiodic Toda lattice: a geometric and topological viewpoint

DOI10.1088/1751-8121/aacecfzbMath1407.37103arXiv1802.02128OpenAlexW2786201462MaRDI QIDQ4689507

Barbara A. Shipman, Yuji Kodama

Publication date: 16 October 2018

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.02128

zbMATH Keywords

cohomologyintegrable systemsflag varietiesToda lattice

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Grassmannians, Schubert varieties, flag manifolds (14M15) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Étale and other Grothendieck topologies and (co)homologies (14F20) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Related Items (8)

On the even solutions of the Toda system: a degree argument approach ⋮ Symmetric Toda, gradient flows, and tridiagonalization ⋮ Lusztig factorization dynamics of the full Kostant-Toda lattices ⋮ Gradient flows, adjoint orbits, and the topology of totally nonnegative flag varieties ⋮ Regular solution and lattice Miura transformation of bigraded Toda hierarchy ⋮ On differential form method to find Lie symmetries of two types of Toda lattices ⋮ The full Kostant-Toda hierarchy on the positive flag variety ⋮ Dynamics of the QR-flow for upper Hessenberg real matrices

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