Toric symplectic ball packing |
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Authors: | Alvaro Pelayo |
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Affiliation: | Department of Mathematics, University of Michigan, 2074 East Hall, 530 Church Street, Ann Arbor, Michigan 48109-1043, USA |
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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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Keywords: | 53D05 52A20 53D20 51M20 |
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