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An integrable system on the moduli space of rational functions and its variants

โœ Scribed by Kanehisa Takasaki; Takashi Takebe

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
155 KB
Volume
47
Category
Article
ISSN
0393-0440

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โœฆ Synopsis

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 Abelian type integral of the Seiberg-Witten differential over the spectral curve.

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