After Gromov’s foundational work in 1985, problems of symplectic embeddings lie in the heart of symplectic geometry. The Gromov width of a symplectic manifold (M,ω) is a symplectic invariant that measures, roughly speaking, the size of the biggest ball we can symplectically embed in (M,ω).
I will discuss techniques to compute the Gromov width of a special family of symplectic manifolds, the moduli spaces of polygons in ℝ3 with edges of lengths (r1,…,rn). Under some genericity assumptions on lengths ri, the polygon space is a symplectic manifold. After introducing this family of manifolds, I will concentrate on the spaces of 5-gons and calculate their Gromov width.
This video is part of the Institute for Advanced Study‘s Symplectic geometry seminar.
