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Contact and Symplectic Topology

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概要 Symplectic and contact geometry naturally emerged from the mathematical description of classical physics. The discovery of new rigidity phenomena and properties satisfied by these geometric structures... launched a new research field worldwide. The intense activity of many European research groups in this field is reflected by the ESF Research Networking Programme "Contact And Symplectic Topology" (CAST). The lectures of the Summer School in Nantes (June 2011) and of the CAST Summer School in Budapest (July 2012) provide a nice panorama of many aspects of the present status of contact and symplectic topology. The notes of the minicourses offer a gentle introduction to topics which have developed in an amazing speed in the recent past. These topics include 3-dimensional and higher dimensional contact topology, Fukaya categories, asymptotically holomorphic methods in contact topology, bordered Floer homology, embedded contact homology, and flexibility results for Stein manifolds.続きを見る
目次 Mathematical contributions from V.I. Arnold
Topological methods in 3-dimensional contact geometry
A short introduction to Fukaya categories
Open books and Lefschetz pencils in contact geometry
Introduction to contact topology in higher dimensions
Bordered Heegaard Floer homology
Stein structures: existence and flexibility
Embedded contact homology, cobordism maps, and applications
Knot contact homology and applications.
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本文を見る Full text available from Springer Mathematics and Statistics eBooks 2014 English/International

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登録日 2020.06.27
更新日 2020.06.28