Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4660680 | Topology and its Applications | 2006 | 12 Pages |
Abstract
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.
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Mathematics
Geometry and Topology