Towards the C0 flux conjecture

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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 languageEnglish
Pages (from-to)3493-3508
Number of pages16
JournalAlgebraic and Geometric Topology
Volume14
Issue number6
DOIs
StatePublished - 15 Jan 2015

Keywords

  • C flux conjecture
  • Flux homomorphism
  • Hamiltonian diffeomorphism
  • Symplectic manifold
  • Symplectomorphism

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

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