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arXiv · 0809.1584

Microlocal condition for non-displaceablility

Dmitry Tamarkin
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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

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Dmitry Tamarkin. 2008-09-09. Microlocal condition for non-displaceablility. https://arxiv.org/abs/0809.1584

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