Canonical spectral coordinates for the Calogero-Moser space associated with the cyclic quiver
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Publication:5212611
DOI10.1080/14029251.2020.1700634zbMath1436.14059arXiv1812.02544OpenAlexW3003912668MaRDI QIDQ5212611
Publication date: 29 January 2020
Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.02544
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relationships between algebraic curves and integrable systems (14H70) Momentum maps; symplectic reduction (53D20)
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- A simple proof of Sklyanin's formula for canonical spectral coordinates of the rational Calogero-Moser system
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- Three integrable Hamiltonian systems connected with isospectral deformations
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- Bi-Hamiltonian geometry and canonical spectral coordinates for the rational Calogero-Moser system
- Bispectrality for the quantum open Toda chain
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- More lectures on Hilbert schemes of points on surfaces
- Erratum: Solution of the one-dimensional N-body problems with quadratic and/or inversely quadratic pair potentials [J. Math. Phys. 12, 419–436 (1971)]
- KP hierarchy for the cyclic quiver
- Non-commutative symplectic geometry, quiver varieties, and operads
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