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4-Manifolds and Kirby Calculus
About this Title
Robert E. Gompf, University of Texas, Austin, Austin, TX and András I. Stipsicz, ELTE, TTK, Budapest, Hungary
Publication: Graduate Studies in Mathematics
Publication Year:
1999; Volume 20
ISBNs: 978-0-8218-0994-5 (print); 978-1-4704-1797-0 (online)
DOI: https://doi.org/10.1090/gsm/020
MathSciNet review: MR1707327
MSC: Primary 57N13; Secondary 14J80, 32Q55, 57-02, 57R17, 57R57, 57R65
Table of Contents
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Front/Back Matter
Part 1. 4-manifolds
- Chapter 1. Introduction
- Chapter 2. Surfaces in 4-manifolds
- Chapter 3. Complex surfaces
Part 2. Kirby calculus
- Chapter 4. Handlebodies and Kirby diagrams
- Chapter 5. Kirby calculus
- Chapter 6. More examples
Part 3. Applications
- Chapter 7. Branched covers and resolutions
- Chapter 8. Elliptic and Lefschetz fibrations
- Chapter 9. Cobordisms, $h$-cobordisms and exotic $\mathbb {R}^{4,}$s
- Chapter 10. Symplectic 4-manifolds
- Chapter 11. Stein surfaces
Part 4. Appendices
- Chapter 12. Solutions
- Chapter 13. Notation, important figures