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

Peter Albers·Urs Frauenfelder
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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.

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Peter Albers, Urs Frauenfelder. 2007-03-28. A non-displacable Lagrangian torus in T^*S^2. https://doi.org/10.1002/cpa.20216

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