Odd-symplectic forms via surgery and minimality in symplectic dynamics
Dynamical Systems
2020-08-17 v1 Symplectic Geometry
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.
Cite
@article{arxiv.1711.08322,
title = {Odd-symplectic forms via surgery and minimality in symplectic dynamics},
author = {Hansjörg Geiges and Kai Zehmisch},
journal= {arXiv preprint arXiv:1711.08322},
year = {2020}
}
Comments
14 pages, one figure