Contact and Symplectic Topology

Frédéric Bourgeois, Vincent Colin, András Stipsicz (Herausgeber)

Buch | Hardcover

XIII, 530 Seiten

2014 | 2014
Springer International Publishing (Verlag)
978-3-319-02035-8 (ISBN)

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This book explains the application of symplectic and contact geometry to various fields of physics. It presents a wide range of hot topics in an active field of mathematics and features tutorial-like lectures designed to be accessible to graduate students.

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.

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.

Erscheint lt. Verlag	19.3.2014
Reihe/Serie	Bolyai Society Mathematical Studies
Zusatzinfo	XIII, 530 p. 164 illus., 82 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	165 x 235 mm
Gewicht	1030 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
	Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
Schlagworte	Bordered Heegaard Floer Homology • Fukaya Categories • Homological Invariants • knot Contact Homology and Applications • Low-dimensional topology • Symplectic and Contact Geometry to Various Holomor • Symplectic and Contact Geometry to Various Holomorphic Curves
ISBN-10	3-319-02035-8 / 3319020358
ISBN-13	978-3-319-02035-8 / 9783319020358
Zustand	Neuware