The symplectic topology of cotangent bundles
type: Item
instance of: scholarly article
title: The symplectic topology of cotangent bundles
zbMATH Open document ID: 1200.53076
author: Tim Perutz
published in: European Mathematical Society Newsletter
publication date: 2010-08-24T00:00:00Z
review text: In the present article the author starts with a brief review of the roots of symplectic geometry and then continues to discuss important questions of symplectic topology in its classical framework. These questions are aimed at understanding the interaction between the smooth topology of a manifold and the symplectic topology of its cotangent bundle. Objects of study in this investigation are (exact) Lagrangian embeddings, immersions and their deformations. The author introduces the main tools for tackling the questions posed, which amongst others include \textit{Floer cohomology} and the notion of \textit{Fukaya \(A_\infty\)-category}. At the end, the article provides a brief tour on the unrecognizability of symplectic manifolds.
reviewed by: Bijan Sahamie
Mathematics Subject Classification ID: 53D35
Mathematics Subject Classification ID: 57R17
zbMATH DE Number: 5774738
zbMATH Keywords: symplectic topology
zbMATH Keywords: cotangent bundle
zbMATH Keywords: Arnol'd conjecture
zbMATH Keywords: unrecognisibility
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5774738