Displaying similar documents to “Invariant properties of the generalized canonical mappings”

Symplectic embedding of thin discs into a ball

Takeo Nishinou (2004)

Mathematica Bohemica

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We perform symplectic embeddings of ‘thin’ discs into a small ball in arbitrary dimension, using the symplectic folding construction.

Symplectic Capacities in Manifolds

Alfred Künzle (1997)

Banach Center Publications

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Symplectic capacities coinciding on convex sets in the standard symplectic vector space are extended to any subsets of symplectic manifolds. It is shown that, using embeddings of non-smooth convex sets and a product formula, calculations of some capacities become very simple. Moreover, it is proved that there exist such capacities which are distinct and that there are star-shaped domains diffeomorphic to the ball but not symplectomorphic to any convex set.