Skip to main content
SpringerLink
Log in

Surgery on Contact 3-Manifolds and Stein Surfaces

  • Book
  • © 2004

Overview

Authors:
  1. Burak Ozbagci

    1. Koc University, Istanbul, Turkey

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. András I. Stipsicz

    1. Hungarian Academy of Sciences, Alfréd Rényi Institute of Mathematics, Budapest, Hungary

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Bolyai Society Mathematical Studies (BSMS, volume 13)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 109.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 139.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 139.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (15 chapters)

  1. Front Matter

    Pages i-9
    Download chapter PDF

  2. Introduction

    • Burak Ozbagci, András I. Stipsicz
    Pages 11-24

  3. Topological Surgeries

    • Burak Ozbagci, András I. Stipsicz
    Pages 25-48

  4. Symplectic 4-Manifolds

    • Burak Ozbagci, András I. Stipsicz
    Pages 49-62

  5. Contact 3-Manifolds

    • Burak Ozbagci, András I. Stipsicz
    Pages 63-84

  6. Convex Surfaces in Contact 3-Manifolds

    • Burak Ozbagci, András I. Stipsicz
    Pages 85-98

  7. Spinc Structures on 3- and 4-Manifolds

    • Burak Ozbagci, András I. Stipsicz
    Pages 99-109

  8. Symplectic Surgery

    • Burak Ozbagci, András I. Stipsicz
    Pages 111-120

  9. Stein Manifolds

    • Burak Ozbagci, András I. Stipsicz
    Pages 121-130

  10. Open Books and Contact Structures

    • Burak Ozbagci, András I. Stipsicz
    Pages 131-153

  11. Lefschetz Fibrations on 4-Manifolds

    • Burak Ozbagci, András I. Stipsicz
    Pages 155-178

  12. Contact Dehn Surgery

    • Burak Ozbagci, András I. Stipsicz
    Pages 179-200

  13. Fillings of Contact 3-Manifolds

    • Burak Ozbagci, András I. Stipsicz
    Pages 201-222

  14. Appendix: Seiberg-Witten Invariants

    • Burak Ozbagci, András I. Stipsicz
    Pages 223-233

  15. Appendix: Heegaard Floer Theory

    • Burak Ozbagci, András I. Stipsicz
    Pages 235-254

  16. Appendix: Mapping Class Groups

    • Burak Ozbagci, András I. Stipsicz
    Pages 255-268

  17. Back Matter

    Pages 269-282
    Download chapter PDF
Back to top

Keywords

About this book

The groundbreaking results of the near past - Donaldson's result on Lef­ schetz pencils on symplectic manifolds and Giroux's correspondence be­ tween contact structures and open book decompositions - brought a top­ ological flavor to global symplectic and contact geometry. This topological aspect is strengthened by the existing results of Weinstein and Eliashberg (and Gompf in dimension 4) on handle attachment in the symplectic and Stein category, and by Giroux's theory of convex surfaces, enabling us to perform surgeries on contact 3-manifolds. The main objective of these notes is to provide a self-contained introduction to the theory of surgeries one can perform on contact 3-manifolds and Stein surfaces. We will adopt a very topological point of view based on handlebody theory, in particular, on Kirby calculus for 3- and 4-dimensionalmanifolds. Surgery is a constructive method by its very nature. Applying it in an intricate way one can see what can be done. These results are nicely com­ plemented by the results relying on gauge theory - a theory designed to prove that certain things cannot be done. We will freely apply recent results of gauge theory without a detailed introduction to these topics; we will be content with a short introduction to some forms of Seiberg-Witten theory and some discussions regarding Heegaard Floer theory in two Appendices.

Reviews

From the reviews:

"This book introduces the reader to modern trends in low-dimensional contact and symplectic geometry. … They also touch on and hint at many other interesting topics. This book is a highly recommended introduction to this exciting circle of ideas." (John B. Etnyre, Mathematical Reviews, Issue 2005 k)

Authors and Affiliations

  • Koc University, Istanbul, Turkey

    Burak Ozbagci

  • Hungarian Academy of Sciences, Alfréd Rényi Institute of Mathematics, Budapest, Hungary

    András I. Stipsicz

Bibliographic Information

  • Book Title: Surgery on Contact 3-Manifolds and Stein Surfaces

  • Authors: Burak Ozbagci, András I. Stipsicz

  • Series Title: Bolyai Society Mathematical Studies

  • DOI: https://doi.org/10.1007/978-3-662-10167-4

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2004

  • Hardcover ISBN: 978-3-540-22944-5Published: 29 November 2004

  • Softcover ISBN: 978-3-642-06184-4Published: 06 December 2010

  • eBook ISBN: 978-3-662-10167-4Published: 09 March 2013

  • Series ISSN: 1217-4696

  • Series E-ISSN: 2947-9460

  • Edition Number: 1

  • Number of Pages: II, 282

  • Additional Information: Jointly published with Janos Bolyai Mathematical Society

  • Topics: Geometry, Combinatorics, Topology

Publish with us

Policies and ethics

Back to top

Search

Navigation