Contact and Symplectic Topology
Springer International Publishing (Verlag)
978-3-319-35063-9 (ISBN)
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.
| Erscheinungsdatum | 03.08.2016 |
|---|---|
| Reihe/Serie | Bolyai Society Mathematical Studies |
| Zusatzinfo | XIII, 530 p. 164 illus., 82 illus. in color. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 170 x 244 mm |
| 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 • Geometry • Homological Invariants • knot Contact Homology and Applications • Low-dimensional topology • Mathematical Applications in the Physical Sciences • Mathematical methods in physics • Mathematical Modelling • Mathematical Physics • mathematics and statistics • Symplectic and Contact Geometry to Various Holomor • Symplectic and Contact Geometry to Various Holomorphic Curves |
| ISBN-10 | 3-319-35063-3 / 3319350633 |
| ISBN-13 | 978-3-319-35063-9 / 9783319350639 |
| Zustand | Neuware |
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