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Titlebook: Contact and Symplectic Topology; Frédéric Bourgeois,Vincent Colin,András Stipsicz Book 2014 Copyright jointly owned by the János Bolyai Ma

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发表于 2025-3-21 19:19:29 | 显示全部楼层 |阅读模式
书目名称Contact and Symplectic Topology
编辑Frédéric Bourgeois,Vincent Colin,András Stipsicz
视频video
概述Explains the application of symplectic and contact geometry to various fields of physics.Presents a wide panorama of hot topics in a very active field of mathematics.Displays tutorial-like lectures de
丛书名称Bolyai Society Mathematical Studies
图书封面Titlebook: Contact and Symplectic Topology;  Frédéric Bourgeois,Vincent Colin,András Stipsicz Book 2014 Copyright jointly owned by the János Bolyai Ma
描述.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..
出版日期Book 2014
关键词Bordered Heegaard Floer Homology; Fukaya Categories; Homological Invariants; Low-dimensional Topology; S
版次1
doihttps://doi.org/10.1007/978-3-319-02036-5
isbn_softcover978-3-319-35063-9
isbn_ebook978-3-319-02036-5Series ISSN 1217-4696 Series E-ISSN 2947-9460
issn_series 1217-4696
copyrightCopyright jointly owned by the János Bolyai Mathematical Society and Springer 2014
The information of publication is updating

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Geometric Decompositions of Almost Contact Manifolds,he setup of the approximately holomorphic geometry. Once done, we sketch the existence of the two main geometric decompositions available for an almost contact or contact manifold: open books and Lefschetz pencils. The use of the two decompositions for the problem of existence of contact structures
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Contact Invariants in Floer Homology,r homologies. Soon after, they associated to a contact structure . on a 3-manifold, an element of its Heegaard-Floer homology, the contact invariant .(.). This invariant has been used to prove a plethora of results in contact topology of 3-manifolds. In this series of lectures we introduce and revie
发表于 2025-3-22 14:32:44 | 显示全部楼层
Notes on Bordered Floer Homology, respect to gluings. In these notes we will introduce the key features of bordered Heegaard Floer homology: its formal structure, a precise definition of the invariants of surfaces, a sketch of the definitions of the 3-manifold invariants, and some hints at the analysis underlying the theory. We als
发表于 2025-3-22 20:55:07 | 显示全部楼层
Stein Structures: Existence and Flexibility,ometry of Affine Complex Manifolds, Colloquium Publications, vol. 59, .). It is compiled from two short lecture series given by the first author in 2012 at the Institute for Advanced Study, Princeton, and the Alfréd Rényi Institute of Mathematics, Budapest.
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A Topological Introduction to Knot Contact Homology,ry condition on the conormal bundle to the knot. Among other things, this can be used to produce a three-variable polynomial that detects the unknot and conjecturally contains many known knot invariants; a different part of the package yields an effective invariant of transverse knots in ...In these
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