Towards the C0 flux conjecture

Buhovsky, Lev¹

¹School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, 69978 Tel Aviv, Israel

Algebraic and Geometric Topology, Tome 14 (2014) no. 6, pp. 3493-3508

Résumé

In this note, we generalise a result of Lalonde, McDuff and Polterovich concerning the C0 flux conjecture, thus confirming the conjecture in new cases of symplectic manifolds. We also prove the continuity of the flux homomorphism on the space of smooth symplectic isotopies endowed with the C0 topology, which implies the C0 rigidity of Hamiltonian paths, conjectured by Seyfaddini.

Détail

DOI : 10.2140/agt.2014.14.3493

Classification : 57R17
Keywords: symplectic manifold, Hamiltonian diffeomorphism, symplectomorphism, $C^0$ flux conjecture, flux homomorphism

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