English

A non-displacable Lagrangian torus in T^*S^2

Symplectic Geometry 2010-04-20 v2

Abstract

We show that the Lagrangian torus in the cotangent bundles of the 2-sphere obtained by applying the geodesic flow to the unit circle in a fibre is not displaceable by computing its Lagrangian Floer homology. The computation is based on a symmetry argument.

Keywords

Cite

@article{arxiv.math/0608356,
  title  = {A non-displacable Lagrangian torus in T^*S^2},
  author = {Peter Albers and Urs Frauenfelder},
  journal= {arXiv preprint arXiv:math/0608356},
  year   = {2010}
}

Comments

v2: 5 pages, 2 figures, small modification

R2 v1 2026-07-22T17:40:40.524Z