Journal of Symplectic Geometry

Volume 12 (2014)

Number 3

Square roots of Hamiltonian diffeomorphisms

Pages: 427 – 434



Peter Albers (Mathematisches Institut, Westfälische Wilhelms-Universität, Münster, Germany)

Urs Frauenfelder (Department of Mathematics and Research Institute of Mathematics, Seoul National University, Seoul, South Korea)


In this paper, we prove that on any closed symplectic manifold there exists an arbitrarily $C^{\infty}$-small Hamiltonian diffeomorphism not admitting a square root.

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