Contact and Symplectic Topology: 26 (Bolyai Society Mathematical Studies) - Hardcover
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SYMPLECTIC AND CONTACT GEOMETRY NATURALLY EMERGED FROM THEMATHEMATICAL DESCRIPTION OF CLASSICAL PHYSICS. THE DISCOVERY OF NEWRIGIDITY PHENOMENA AND PROPERTIES SATISFIED BY THESE GEOMETRICSTRUCTURES LAUNCHED A NEW RESEARCH FIELD WORLDWIDE. THE INTENSEACTIVITY OF MANY EUROPEAN RESEARCH GROUPS IN THIS FIELD IS REFLECTEDBY 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.
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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.
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- VerlagSpringer
- Erscheinungsdatum2014
- ISBN 10 3319020358
- ISBN 13 9783319020358
- EinbandTapa dura
- Anzahl der Seiten530
- HerausgeberBourgeois Frédéric, Colin Vincent, Stipsicz András
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Contact and Symplectic Topology
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Springer International Publishing
(2014)
ISBN 10: 3319020358
ISBN 13: 9783319020358
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Buchbeschreibung Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Symplectic and contact geometry naturally emerged from themathematical description of classical physics. The discovery of newrigidity phenomena and properties satisfied by these geometricstructures launched a new research field worldwide. The intenseactivity of many European research groups in this field is reflectedby 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. Artikel-Nr. 9783319020358
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