Volume 14, issue 6 (2014)

 Download this article For screen For printing
 Recent Issues
 The Journal About the Journal Editorial Board Editorial Interests Subscriptions Submission Guidelines Submission Page Policies for Authors Ethics Statement ISSN (electronic): 1472-2739 ISSN (print): 1472-2747 Author Index To Appear Other MSP Journals
Towards the $C^0$ flux conjecture

Lev Buhovsky

Algebraic & Geometric Topology 14 (2014) 3493–3508
Abstract

In this note, we generalise a result of Lalonde, McDuff and Polterovich concerning the ${C}^{0}$ 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 ${C}^{0}$ topology, which implies the ${C}^{0}$ rigidity of Hamiltonian paths, conjectured by Seyfaddini.

Keywords
symplectic manifold, Hamiltonian diffeomorphism, symplectomorphism, $C^0$ flux conjecture, flux homomorphism
Primary: 57R17
Publication
Received: 16 September 2013
Revised: 12 April 2014
Accepted: 6 May 2014
Published: 15 January 2015
Authors
 Lev Buhovsky School of Mathematical Sciences Tel Aviv University Ramat Aviv 69978 Tel Aviv Israel http://www.math.tau.ac.il/~levbuh/