Discontinuous symplectic capacities

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Discontinuous symplectic capacities
 
Zehmisch, K.; Ziltener, F.J.
(2014) Journal of Fixed Point Theory and its Applications, volume 14, issue 1, pp. 299 - 307
(Article)
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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Keywords: Symplectic capacities, discontinuity, helicity, symplectic embeddings, holomorphic spheres, nonsqueezing
DOI: https://doi.org/10.1007/s11784-013-0148-x
ISSN: 1661-7738
Publisher: Springer Science + Business Media
(Peer reviewed)
 
 
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