Grassmannian空间和多边形空间上可积系统的环面退化
Toric degenerations of integrable systems on Grassmannians and polygon spaces
摘要：
在n维空间中引入了一个2-平面的Grassmannian上的完全可积系统，并计算了其Lagrange环面纤维的势函数.该系统在不同三角剖分下的矩多面体通过积分分段线性变换联系起来，相应的势函数通过Berenstein和Zelevinsky意义下的几何提升联系起来.
英文摘要：
We introduce a completely integrable system on the Grassmannian of 2-planes in an n-space associated with any triangulation of a polygon with n sides, and compute the potential function for its Lagrangian torus fiber. The moment polytopes of this system for different triangulations are related by an integral piecewise-linear transformation, and the corresponding potential functions are related by its geometric lift in the sense of Berenstein and Zelevinsky.
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