Geodesic
Integrable Model of Interacting Elliptic Tops
Teoretičeskaâ i matematičeskaâ fizika, Tome 146 (2006) no. 1, pp. 55-64 Cet article a éte moissonné depuis la source Math-Net.Ru

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We suggest a method for constructing a system of interacting elliptic tops. It is integrable and symplectomorphic to the Calogero–Moser model by construction.
Keywords: integrable systems, algebraic geometry, symplectic geometry. 
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A. V. Zotov; A. M. Levin. Integrable Model of Interacting Elliptic Tops. Teoretičeskaâ i matematičeskaâ fizika, Tome 146 (2006) no. 1, pp. 55-64. http://geodesic.mathdoc.fr/item/TMF_2006_146_1_a4/

[1] N. Hitchin, Duke Math. J., 54 (1987), 91–114 | DOI | MR | Zbl

[2] A. Levin, M. Olshanetsky, Commun. Math. Phys., 188 (1997), 449–466 | DOI | MR | Zbl

[3] M. F. Atiyah, Proc. London Math. Soc., 7 (1957), 414–452 | DOI | MR | Zbl

[4] N. Nekrasov, Commun. Math. Phys., 180 (1996), 587–604 ; hep-th/9503157 | DOI | MR

[5] I. Krichever, O. Babelon, E. Billey, M. Talon, Amer. Math. Soc. Transl., 170 (1995), 83–119 | MR | Zbl

[6] F. Calogero, J. Math. Phys., 12 (1971), 419–436 ; Erratum 37 (1996), 4636; J. Moser, Adv. Math., 16 (1975), 197–220 | DOI | MR | DOI | MR | Zbl

[7] A. G. Reiman, M. A. Semenov-Tyan-Shanskii, Zap. nauchn. semin. LOMI, 150, 1986, 104–118 | MR

[8] A. A. Belavin, Nucl. Phys., 180 [FS2] (1981), 189–200 | DOI | MR | Zbl

[9] D. Arinkin, S. Lysenko, Math. Res. Lett., 4 (1997), 181–190 | DOI | MR | Zbl

[10] A. Levin, M. Olshanetsky, A. Zotov, Commun. Math. Phys., 236 (2003), 93–133 ; Math. Ann., 248 (1980), 205–239 | DOI | MR | Zbl | DOI | MR

[11] J. Avan, O. Babelon, M. Talon, Algebra i analiz, 6:1 (1994), 67–89 ; hep-th/9306102 | MR | Zbl

[12] A. Veil, Ellipticheskie funktsii po Eizenshteinu i Kronekeru, Mir, M., 1978 | MR

[13] D. Mamford, Lektsii o teta-funktsiyakh, Mir, M., 1988 | MR