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Chapitre D'ouvrage Année : 2014

Microlocal theory of sheaves and Tamarkin's non displaceability theorem

Stephane Guillermou

Résumé

This paper is an attempt to better understand Tamarkin's approach of classical non-displaceability theorems of symplectic geometry, based on the microlocal theory of sheaves, a theory whose main features we recall here. If the main theorems are due to Tamarkin, our proofs may be rather different and in the course of the paper we introduce some new notions and obtain new results which may be of interest.

Dates et versions

hal-01873001 , version 1 (12-09-2018)

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Stephane Guillermou, Pierre Schapira. Microlocal theory of sheaves and Tamarkin's non displaceability theorem. Castano-Bernard R., Catanese F., Kontsevich M., Pantev T., Soibelman Y., Zharkov I. Homological Mirror Symmetry and Tropical Geometry, 15, 2014, Lecture Notes of the Unione Matematica Italiana, 978-3-319-06514-4. ⟨10.1007/978-3-319-06514-4_3⟩. ⟨hal-01873001⟩
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