Examples for nonequivalence of symplectic capacities

2002/09/05 by Ursula Hamenstaedt, U. Hamenstaedt, Hamenstaedt, U.
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Quantum chaos and dynamical systems #math.SG

paper · pdf · doi:10.48550/arxiv.math/0209052

Shortened, small errors corrected, some details added

arxiv created 2002/10/05 · arxiv updated 2009/11/30

Abstract

We construct an open bounded star-shaped set in R⁴ whose cylindrical capacity is strictly bigger than its proper displacement energy.

Citations

• Symplectic manifolds with contact type boundaries

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