Volume 14, issue 6 (2014)

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ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
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 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.

Keywords
symplectic manifold, Hamiltonian diffeomorphism, symplectomorphism, $C^0$ flux conjecture, flux homomorphism
Mathematical Subject Classification 2010
Primary: 57R17
References
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/