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

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.

v2: 5 pages, 2 figures, small modification

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