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Article Dans Une Revue Asterisque Année : 2023

Sheaves and symplectic geometry of cotangent bundles

Résumé

This paper is essentially made of the three preprints arXiv:1212.5818, arXiv:1311.0187, arXiv:1603.07876 gathered in a single text, with simplified proofs. We recall several results of the microlocal theory of sheaves of Kashiwara-Schapira and apply them to study the symplectic geometry of cotangent bundles. We explain how we can recover the Gromov nonsqueezing theorem, the Gromov-Eliashberg rigidity theorem, the existence of graph selectors, we prove a three cusps conjecture about curves on the sphere and we recover more recent results on the topology of exact Lagrangian submanifolds of cotangent bundles.

Dates et versions

hal-03042431 , version 1 (06-12-2020)

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Citer

Stéphane Guillermou. Sheaves and symplectic geometry of cotangent bundles. Asterisque, 2023, 440, ⟨10.24033/ast.1199⟩. ⟨hal-03042431⟩
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