Mathematics Colloquia and Seminars

Based on Kapovich and Millson paper On the moduli spaces of polygons in the Euclidean space" in 1995, we describe the topology of the inverse image of a moment map. In fact, considering a closed mechanical linkage, there is a connection between the fibers of the moment map and polygon linkages. Also, we give some applications in physics and tropical geometry. Moreover, I will ask some interesting questions in both complex and tropical algebraic geometric. This work is based on a joint work in progress with Yen Kheng Lim.