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Odd-symplectic forms via surgery and minimality in symplectic dynamics
Published online by Cambridge University Press: 05 September 2018
Abstract
We construct an infinite family of odd-symplectic forms (also known as Hamiltonian structures) on the $3$-sphere $S^{3}$ that do not admit a symplectic cobordism to the standard contact structure on $S^{3}$. This answers in the negative a question raised by Joel Fish motivated by the search for minimal characteristic flows.
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- © Cambridge University Press, 2018
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