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.
CITATION STYLE
Tamarkin, D. (2018). Microlocal condition for non-displaceability. In Springer Proceedings in Mathematics and Statistics (Vol. 269, pp. 99–223). Springer New York LLC. https://doi.org/10.1007/978-3-030-01588-6_3
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