Microlocal condition for non-displaceablility

Details Microlocal condition for non-displaceablility Microlocal condition for non-displaceablility

2008-09-09

arxiv.org/abs/0809.1584v1

Mathematics

Symplectic Geometry

Scientific paper

We formulate a sufficient condition for non-displaceability (by Hamiltonian symplectomorphisms which are identity outside of a compact) of a pair of subsets in a cotangent bundle. This condition is based on micro-local analysis of sheaves on manifolds by Kashiwara-Schapira. This condition is used to prove that the real projective space and the Clifford torus inside the complex projective space are mutually non-displaceable

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