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arXiv · 1208.6000

Discontinuous symplectic capacities

Kai Zehmisch·Fabian Ziltener
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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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Kai Zehmisch, Fabian Ziltener. 2013-12-05. Discontinuous symplectic capacities. https://doi.org/10.1007/s11784-013-0148-x

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