Buch, Englisch, 282 Seiten, Previously published in hardcover, Format (B × H): 156 mm x 234 mm, Gewicht: 436 g
Buch, Englisch, 282 Seiten, Previously published in hardcover, Format (B × H): 156 mm x 234 mm, Gewicht: 436 g
Reihe: Bolyai Society Mathematical Studies
ISBN: 978-3-642-06184-4
Verlag: Springer
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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
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.




