h-principle for loose Legendrian embeddings

Autor:	Sen, Balarka
Rok vydání:	2023
Předmět:	Mathematics - Symplectic Geometry Mathematics - Geometric Topology 57R17 (Primary) 32S60 (Secondary)
Druh dokumentu:	Working Paper
Popis:	This article provides an exposition of Emmy Murphy's work on loose Legendrian embeddings. After a brief review of the rudiments of contact topology, we state and discuss some foundational results from the theory of h-principles, providing many relevant examples from contact topology on the way. We then proceed to prove Murphy's h-principle for loose Legendrian embeddings. We also provide an accessible exposition of some background material from microlocal sheaf theory. As applications, we demonstrate the existence of non-loose Legendrian embeddings, and prove a version of Gromov's nonsqueezing theorem for loose charts. Comment: 72 pages, 23 figures. Comments welcome!
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2308.06551 Zobrazit plný text záznamu View this record from Arxiv