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arXiv · 1309.1325

Towards the C^0 flux conjecture

Lev Buhovsky
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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 a symplectic manifold. Also, we 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.

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Lev Buhovsky. 2013-09-05. Towards the C^0 flux conjecture. https://doi.org/10.2140/agt.2014.14.3493

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