| Leonid Polterovich exhibited a beautiful Lagrangian torus in
T*S2 and asked if this torus is Hamiltonianly displaceable. In joint work
with Urs Frauenfelder we prove that the Lagrangian Floer homology does not
vanish, indeed equals the singular homology of the torus. In particular,
this gives a negative answer to Polterovich's question. In the talk I will
describe the construction of the Lagrangian torus and present the
computation of the Lagrangian Floer homology which is based on an symmetry
argument. |
