Lagrangian product tori in symplectic manifolds

  • Yuri Chekanov

    Moscow Center for Continuous Mathematical Education, Russian Federation
  • Felix Schlenk

    Université de Neuchâtel, Switzerland

Abstract

In [7], product Lagrangian tori in standard symplectic space were classified up to symplectomorphism. We extend this classification to symplectically aspherical symplectic manifolds that embed in a tame symplectic manifold.We show by examples that the asphericity assumption cannot be omitted.

Cite this article

Yuri Chekanov, Felix Schlenk, Lagrangian product tori in symplectic manifolds. Comment. Math. Helv. 91 (2016), no. 3, pp. 445–475

DOI 10.4171/CMH/391