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

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

2006-08-14

arxiv.org/abs/math/0608356v2

Comm. Pure Appl. Math. (2008), Volume 61, Issue 8, 1046 - 1051

Mathematics

Symplectic Geometry

v2: 5 pages, 2 figures, small modification

Scientific paper

10.1002/cpa.20216

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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