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An integrable system on the moduli space of rational functions and its variants | Kanehisa Takasaki
; Takashi Takebe
; | Date: |
20 Feb 2002 | Journal: | Journal of Geometry and Physics 47 (1) (2003), 1-20 | Subject: | Exactly Solvable and Integrable Systems; Quantum Algebra | nlin.SI hep-th math.QA | Abstract: | We study several integrable Hamiltonian systems on the moduli spaces of meromorphic functions on Riemann surfaces (the Riemann sphere, a cylinder and a torus). The action-angle variables and the separated variables (in Sklyanin’s sense) are related via a canonical transformation, the generating function of which is the Abel-Jacobi type integral of the Seiberg-Witten differential over the spectral curve. | Source: | arXiv, nlin.SI/0202042 | Services: | Forum | Review | PDF | Favorites |
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