Geodesic
First steps in stable Hamiltonian topology
Journal of the European Mathematical Society, Tome 17 (2015) no. 2, pp. 321-404.

Voir la notice de l'article provenant de la source EMS Press

In this paper we study topological properties of stable Hamiltonian structures. In particular, we prove the following results in dimension three: The space of stable Hamiltonian structures modulo homotopy is discrete; stable Hamiltonian structures are generically Morse-Bott (i.e. all closed orbits are Bott nondegenerate) but not Morse; the standard contact structure on S3 is homotopic to a stable Hamiltonian structure which cannot be embedded in R4. Moreover, we derive a structure theorem for stable Hamiltonian structures in dimension three, study sympectic cobordisms between stable Hamiltonian structures, and discuss implications for the foundations of symplectic field theory.
DOI : 10.4171/jems/505
Classification : 53-XX, 00-XX, 37-XX
Keywords: Hamiltonian structure, contact structure, integrable system 
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     author = {Kai Cieliebak and Evgeny Volkov},
     title = {First steps in stable {Hamiltonian} topology},
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Kai Cieliebak; Evgeny Volkov. First steps in stable Hamiltonian topology. Journal of the European Mathematical Society, Tome 17 (2015) no. 2, pp. 321-404. doi : 10.4171/jems/505. http://geodesic.mathdoc.fr/articles/10.4171/jems/505/

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