Monodromy and isotopy of monotone lagrangian tori

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Abstract

We define new Hamiltonian isotopy invariants for a 2-dimensional monotone Lagrangian torus embedded in a symplectic 4-manifold. We show that, in the standard symplectic ℝ4, these invariants distinguish a monotone Clifford torus from a Chekanov torus.

Original languageEnglish
Pages (from-to)531-541
Number of pages11
JournalMathematical Research Letters
Volume16
Issue number3
DOIs
StatePublished - May 2009

Keywords

  • Hamiltonian monodromy group
  • Infinite dihedral group
  • Involutions
  • Maslov class
  • Monotone lagrangian torus

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