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.
Original language | English |
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Pages (from-to) | 3493-3508 |
Number of pages | 16 |
Journal | Algebraic and Geometric Topology |
Volume | 14 |
Issue number | 6 |
DOIs | |
State | Published - 15 Jan 2015 |
Keywords
- C flux conjecture
- Flux homomorphism
- Hamiltonian diffeomorphism
- Symplectic manifold
- Symplectomorphism
All Science Journal Classification (ASJC) codes
- Geometry and Topology