Surgery on contact 3-manifolds and Stein surfaces
Author(s)
Bibliographic Information
Surgery on contact 3-manifolds and Stein surfaces
（Bolyai Society mathematical studies, 13）
Springer , János Bolyai Mathematical Society, c2004
- : Berlin
- : Budapest
Available at / 21 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
: BerlinOZB||1||104068206
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science数学
: Berlin/OZ 12080350756
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Note
Includes bibliographical references (p. [269]-277) and index
Description and Table of Contents
Description
This book is about an investigation of recent developments in the field of sympletic and contact structures on four- and three-dimensional manifolds from a topologist's point of view. In it, two main issues are addressed: what kind of sympletic and contact structures we can construct via surgery theory and what kind of sympletic and contact structures are not allowed via gauge theory and the newly invented Heegaard-Floer theory.
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.
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