English

Towards the C^0 flux conjecture

Symplectic Geometry 2015-05-27 v1

Abstract

In this note, we generalise a result of Lalonde, McDuff and Polterovich concerning the C0 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 C0 C^0 topology, which implies the C0 C^0 rigidity of Hamiltonian paths, conjectured by Seyfaddini.

Keywords

Cite

@article{arxiv.1309.1325,
  title  = {Towards the C^0 flux conjecture},
  author = {Lev Buhovsky},
  journal= {arXiv preprint arXiv:1309.1325},
  year   = {2015}
}
R2 v1 2026-06-22T01:21:24.854Z