Umfang:
Online-Ressource (II, 282 p, online resource)
ISBN:
9783662101674
Serie:
Bolyai Society Mathematical Studies 13
Inhalt:
Surgery is the most effective way of constructing manifolds. This is especially true in dimensions 3 and 4, where Kirby calculus provides a method for manipulating surgery diagrams. The groundbreaking results of Donaldson (on Lefschetz fibrations) and Giroux (on open book decompositions) now allow one to incorporate analytic structures into these diagrams: symplectic or Stein structures in the 4-dimensional case, contact structures in the 3-dimensional situation. This volume gives an introduction to the surgery techniques adapted to these additional structures. The necessary topological background on Lefschetz fibrations and open book decompositions is developed in the book. Also included are rapid introductions to the basics and applications of Seiberg--Witten and Heegaard Floer theories
Weitere Ausg.:
ISBN 9783642061844
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe ISBN 9783642061844
Sprache:
Englisch
DOI:
10.1007/978-3-662-10167-4
URL:
Volltext
(lizenzpflichtig)
