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Contact and Symplectic Topology
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Catalogue Information
Field name
Details
Dewey Class
530.15
Title
Contact and Symplectic Topology ([Ebook]) / edited by Frédéric Bourgeois, Vincent Colin, András Stipsicz.
Author
Bourgeois, Frédéric
Added Personal Name
Colin, Vincent
Stipsicz, András
Other name(s)
SpringerLink (Online service)
Publication
Cham Springer International Publishing 2014.
Physical Details
XIII, 530 pages:. 164 illus., 82 illus. in color. : online resource.
ISBN
9783319020365
Summary Note
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.:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-3-319-02036-5
Links to Related Works
Subject References:
Geometry
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Mathematical Applications in the Physical Sciences
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Mathematical Methods in Physics
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Mathematical Physics
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Physics
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Symplectic and contact topology
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Authors:
Bourgeois, Frédéric
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Colin, Vincent
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editor
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Stipsicz, András
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Corporate Authors:
SpringerLink (Online service)
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Series:
Bolyai Society Mathematical Studies
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Classification:
530.15
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530.15 (DDC 23)
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