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Contact and Symplectic Topology

2014-03-10 Science
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Release : 2014-03-10
Genre : Science
Kind : eBook
Book Rating : 366/5 ( reviews)

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Book Synopsis Contact and Symplectic Topology by : Frédéric Bourgeois

Download or read book Contact and Symplectic Topology written by Frédéric Bourgeois. This book was released on 2014-03-10. Available in PDF, EPUB and Kindle. Book excerpt: 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.

An Introduction to Contact Topology

2008-03-13 Mathematics
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Release : 2008-03-13
Genre : Mathematics
Kind : eBook
Book Rating : 956/5 ( reviews)

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Book Synopsis An Introduction to Contact Topology by : Hansjörg Geiges

Download or read book An Introduction to Contact Topology written by Hansjörg Geiges. This book was released on 2008-03-13. Available in PDF, EPUB and Kindle. Book excerpt: This text on contact topology is a comprehensive introduction to the subject, including recent striking applications in geometric and differential topology: Eliashberg's proof of Cerf's theorem via the classification of tight contact structures on the 3-sphere, and the Kronheimer-Mrowka proof of property P for knots via symplectic fillings of contact 3-manifolds. Starting with the basic differential topology of contact manifolds, all aspects of 3-dimensional contact manifolds are treated in this book. One notable feature is a detailed exposition of Eliashberg's classification of overtwisted contact structures. Later chapters also deal with higher-dimensional contact topology. Here the focus is on contact surgery, but other constructions of contact manifolds are described, such as open books or fibre connected sums. This book serves both as a self-contained introduction to the subject for advanced graduate students and as a reference for researchers.

Contact and Symplectic Geometry

1996-09-28 Mathematics
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Release : 1996-09-28
Genre : Mathematics
Kind : eBook
Book Rating : 862/5 ( reviews)

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Book Synopsis Contact and Symplectic Geometry by : Charles Benedict Thomas

Download or read book Contact and Symplectic Geometry written by Charles Benedict Thomas. This book was released on 1996-09-28. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents some of the lectures and research during the special programme held at the Newton Institute in 1994. The two parts each contain a mix of substantial expository articles and research papers that outline important and topical ideas. Many of the results have not been presented before, and the lectures on Floer homology is the first avaliable in book form.Symplectic methods are one of the most active areas of research in mathematics currently, and this volume will attract much attention.

Riemannian Geometry of Contact and Symplectic Manifolds

2013-11-11 Mathematics
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Release : 2013-11-11
Genre : Mathematics
Kind : eBook
Book Rating : 045/5 ( reviews)

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Book Synopsis Riemannian Geometry of Contact and Symplectic Manifolds by : David E. Blair

Download or read book Riemannian Geometry of Contact and Symplectic Manifolds written by David E. Blair. This book was released on 2013-11-11. Available in PDF, EPUB and Kindle. Book excerpt: Book endorsed by the Sunyer Prize Committee (A. Weinstein, J. Oesterle et. al.).

Introduction to Symplectic Topology

2017 Mathematics
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Release : 2017
Genre : Mathematics
Kind : eBook
Book Rating : 894/5 ( reviews)

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Book Synopsis Introduction to Symplectic Topology by : Dusa McDuff

Download or read book Introduction to Symplectic Topology written by Dusa McDuff. This book was released on 2017. Available in PDF, EPUB and Kindle. Book excerpt: Over the last number of years powerful new methods in analysis and topology have led to the development of the modern global theory of symplectic topology, including several striking and important results. This new third edition of a classic book in the feild includes updates and new material to bring the material right up-to-date.

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