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＜電子ブック＞
Surgery on Contact 3-Manifolds and Stein Surfaces / by Burak Ozbagci, András Stipsicz
(Bolyai Society Mathematical Studies. ISSN:29479460 ; 13)

版	1st ed. 2004.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2004
本文言語	英語
大きさ	II, 282 p : online resource
著者標目	*Ozbagci, Burak author Stipsicz, András author SpringerLink (Online service)
件　名	LCSH:Geometry LCSH:Discrete mathematics LCSH:Topology FREE:Geometry FREE:Discrete Mathematics FREE:Topology
一般注記	1. Introduction -- 2. Topological Surgeries -- 3. Symplectic 4-Manifolds -- 4. Contact 3-Manifolds -- 5. Convex Surfaces in Contact 3-Manifolds -- 6. Spinc Structures on 3- and 4-Manifolds -- 7. Symplectic Surgery -- 8. Stein Manifolds -- 9. Open Books and Contact Structures -- 10. Lefschetz Fibrations on 4-Manifolds -- 11. Contact Dehn Surgery -- 12. Fillings of Contact 3-Manifolds -- 13. Appendix: Seiberg—Witten Invariants -- 14. Appendix: Heegaard Floer Theory -- 15. Appendix: Mapping Class Groups 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. HTTP:URL=https://doi.org/10.1007/978-3-662-10167-4

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