Toric symplectic ball packing

Details Toric symplectic ball packing Toric symplectic ball packing

2007-04-08

arxiv.org/abs/0704.1034v1

Published in Topology and its Applications 153 (2006) 3633-3644

Mathematics

Symplectic Geometry

17 pages, 6 figures

Scientific paper

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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