Discontinuous symplectic capacities |
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| Authors: | Kai Zehmisch Fabian Ziltener |
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| Affiliation: | 1. Mathematisches Institut, Universit?t zu K?ln, Weyertal 86–90, D-50931, K?ln, Germany
2. Wiskunde Gebouw, Universiteit Utrecht, Budapestlaan 6, 3584 CD, Utrecht, The Netherlands
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| Abstract: | We show that the spherical capacity is discontinuous on a smooth family of ellipsoidal shells. Moreover, we prove that the shell capacity is discontinuous on a family of open sets with smooth connected boundaries. |
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