Maximal Hamiltonian tori for polygon spaces
[Tores hamiltoniens maximaux pour les espaces de polygones]
Hausmann, Jean-Claude1 ; Tolman, Susan2
1 Université de Genève, Section de Mathématiques, B.P. 240, CH-1211 Genève 24
2 University of Illinois at Urbana-Champaign, Department of Mathematics, Urbana, IL 61801 (USA)
Annales de l'Institut Fourier, Tome 53 (2003) no. 6, pp. 1925-1939.

On étudie l'ensemble partiellement ordonné des tores hamiltoniens pour les espaces de polygones. Un certain nombre d'éléments maximaux sont dégagés et l'on donne des exemples où les tores maximaux n'ont pas tous la même dimension.

We study the poset of Hamiltonian tori for polygon spaces. We determine some maximal elements and give examples where maximal Hamiltonian tori are not all of the same dimension.

DOI : 10.5802/aif.1996
Classification : 53D20, 57S25
Keywords: polygon spaces, symplectic geometry, Hamiltonian torus actions
Mot clés : espaces de polygones, géométrie symplectique, actions hamiltoniennes de tores
Hausmann, Jean-Claude 1 ; Tolman, Susan 2

1 Université de Genève, Section de Mathématiques, B.P. 240, CH-1211 Genève 24
2 University of Illinois at Urbana-Champaign, Department of Mathematics, Urbana, IL 61801 (USA) 
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Hausmann, Jean-Claude; Tolman, Susan. Maximal Hamiltonian tori for polygon spaces. Annales de l'Institut Fourier, Tome 53 (2003) no. 6, pp. 1925-1939. doi : 10.5802/aif.1996. http://www.numdam.org/articles/10.5802/aif.1996/

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