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Surgery on Contact 3-Manifolds and Stein Surfaces


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Table of Contents

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.


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)

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