Toric symplectic ball packing
Abstract
Description
We define and solve the toric version of the symplectic ball packing problem, in the sense of listing all 2n-dimensional symplectic-toric manifolds which admit a perfect packing by balls embedded in a symplectic and torus equivariant fashion.
In order to do this we first describe a problem in geometric-combinatorics which is equivalent to the toric symplectic ball packing problem. Then we solve this problem using arguments from Convex Geometry and Delzant theory.
Applications to symplectic blowing-up are also presented, and some further questions are raised in the last section.
17 pages, 6 figures
17 pages, 6 figures