Open Access
2014 Towards the $C^0$ flux conjecture
Lev Buhovsky
Algebr. Geom. Topol. 14(6): 3493-3508 (2014). DOI: 10.2140/agt.2014.14.3493

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.

Citation

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Lev Buhovsky. "Towards the $C^0$ flux conjecture." Algebr. Geom. Topol. 14 (6) 3493 - 3508, 2014. https://doi.org/10.2140/agt.2014.14.3493

Information

Received: 16 September 2013; Revised: 12 April 2014; Accepted: 6 May 2014; Published: 2014
First available in Project Euclid: 19 December 2017

zbMATH: 1306.57018
MathSciNet: MR3302968
Digital Object Identifier: 10.2140/agt.2014.14.3493

Subjects:
Primary: 57R17

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

Rights: Copyright © 2014 Mathematical Sciences Publishers

Vol.14 • No. 6 • 2014
MSP
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