Microlocal condition for non-displaceablility
Symplectic Geometry
2008-09-10 v1 Algebraic Topology
Abstract
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
Cite
@article{arxiv.0809.1584,
title = {Microlocal condition for non-displaceablility},
author = {Dmitry Tamarkin},
journal= {arXiv preprint arXiv:0809.1584},
year = {2008}
}