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Microlocal condition for non-displaceablility

Authors
  • Tamarkin, Dmitry
Type
Preprint
Publication Date
Sep 09, 2008
Submission Date
Sep 09, 2008
Source
arXiv
License
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External links

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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