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arXiv · 1711.08322

Odd-symplectic forms via surgery and minimality in symplectic dynamics

Hansjörg Geiges·Kai Zehmisch
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Abstract

We construct an infinite family of odd-symplectic forms (also known as Hamiltonian structures) on the 3-sphere that do not admit a symplectic cobordism to the standard contact structure on the 3-sphere. This answers in the negative a question raised by Joel Fish motivated by the search for minimal characteristic flows.

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Hansjörg Geiges, Kai Zehmisch. 2017-11-22. Odd-symplectic forms via surgery and minimality in symplectic dynamics. https://doi.org/10.1017/etds.2018.60p

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