SU（3）的余伴轨道三重约化积的谱曲线
Spectral curves for the triple reduced product of coadjoint orbits for SU(3)
摘要：
本文给出了SU（3）中三个余伴轨道与三个穿孔的亏格0曲线上的Hitchin对空间的三重约化积的一个标识，其中Higgs场在穿孔处的留数被限制在固定的余伴轨道上.利用相应的Hitchin系统的谱曲线，我们确定了约化积上Hamilton圈作用的矩映射。最后，我们利用Adams，Harnad和Hurtubise的结果，找到达布坐标和一个微分方程的哈密顿量。
英文摘要：
We give an identification of the triple reduced product of three coadjoint orbits in SU(3) with a space of Hitchin pairs over a genus 0 curve with three punctures, where the residues of the Higgs field at the punctures are constrained to lie in fixed coadjoint orbits. Using spectral curves for the corresponding Hitchin system, we identify the moment map for a Hamiltonian circle action on the reduced product. Finally, we make use of results of Adams, Harnad, and Hurtubise to find Darboux coordinates and a differential equation for the Hamiltonian.
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