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.
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.
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
@article{AIF_2003__53_6_1925_0, author = {Hausmann, Jean-Claude and Tolman, Susan}, title = {Maximal {Hamiltonian} tori for polygon spaces}, journal = {Annales de l'Institut Fourier}, pages = {1925--1939}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {53}, number = {6}, year = {2003}, doi = {10.5802/aif.1996}, zbl = {1049.53056}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1996/} }
TY - JOUR AU - Hausmann, Jean-Claude AU - Tolman, Susan TI - Maximal Hamiltonian tori for polygon spaces JO - Annales de l'Institut Fourier PY - 2003 SP - 1925 EP - 1939 VL - 53 IS - 6 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.1996/ DO - 10.5802/aif.1996 LA - en ID - AIF_2003__53_6_1925_0 ER -
%0 Journal Article %A Hausmann, Jean-Claude %A Tolman, Susan %T Maximal Hamiltonian tori for polygon spaces %J Annales de l'Institut Fourier %D 2003 %P 1925-1939 %V 53 %N 6 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.1996/ %R 10.5802/aif.1996 %G en %F AIF_2003__53_6_1925_0
Hausmann, Jean-Claude; Tolman, Susan. Maximal Hamiltonian tori for polygon spaces. Annales de l'Institut Fourier, Volume 53 (2003) no. 6, pp. 1925-1939. doi : 10.5802/aif.1996. https://aif.centre-mersenne.org/articles/10.5802/aif.1996/
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