Discontinuous symplectic capacities
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Publication date
2014
Authors
Zehmisch, K.
Ziltener, Fabian
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Document Type
Article
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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.
Keywords
Symplectic capacities, discontinuity, helicity, symplectic embeddings, holomorphic spheres, nonsqueezing
Citation
Zehmisch, K & Ziltener, F J 2014, 'Discontinuous symplectic capacities', Journal of Fixed Point Theory and its Applications, vol. 14, no. 1, pp. 299-307. https://doi.org/10.1007/s11784-013-0148-x