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arXiv · 1312.3924

The symplectic displacement energy

Augustin Banyaga·David E. Hurtubise·Peter Spaeth
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Abstract

We define the symplectic displacement energy of a non-empty subset of a compact symplectic manifold as the infimum of the Hofer-like norm [5] of symplectic diffeomorphisms that displace the set. We show that this energy (like the usual displacement energy defined using Hamiltonian diffeomorphisms) is a strictly positive number on sets with non-empty interior. As a consequence we prove a result justifying the introduction of the notion of strong symplectic homeomorphisms [4].

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Augustin Banyaga, David E. Hurtubise, Peter Spaeth. 2013-12-13. The symplectic displacement energy. https://arxiv.org/abs/1312.3924

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