On the Geography of Stein Fillings of Certain 3-Manifolds

Michigan Mathematical Journal

Volumn 51, Issue 2, 2003, Pages 327-337

  Stipsicz, András I ^a  

^a INSTITUTE OF EXPERIMENTAL MEDICINE   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0242596484     PISSN: 00262285     EISSN: None     Source Type: Journal    
DOI: 10.1307/mmj/1060013199     Document Type: Article

References (26)

1. [Ae] B. Aebisher et al., Symplectic geometry, Progr. Math., 124, Birkhäuser, Boston, 1994.
2. [AO1] S. Akbulut and B. Ozbagci, Lefschetz fibrations on compact Stein surfaces, Geom. Topol. 5 (2001), 319-334.
3. [AO2] _, On the topology of compact Stein surfaces, Internat. Math. Res. Notices 15 (2002), 769-782.
4. [E1] Y. Eliashberg, Filling by holomorphic discs and its applications, Geometry of low-dimensional manifolds, 2 (Durham, 1989), pp. 45-67, London Math. Soc. Lecture Note Ser., 151, Cambridge Univ. Press, 1990.
5. [E2] _, Topological characterization of Stein manifolds of dimension > 2, Internat. J. Math. 1 (1990), 29-46.
6. [Et1] J. Etnyre, Symplectic convexity in low-dimensional topology, Topology Appl. 88 (1998), 3-25.
7. [Et2] _, Introductory lectures on contact geometry, preprint (arXiv:math.SG/0111118).
8. [EtH] J. Etnyre and K. Honda, On symplectic cobordisms, Math. Ann. 323 (2002), 31-39.
9. [F] K. Frøyshov, The Seiberg-Witten equations and four-manifolds with boundary, Math. Res. Lett. 3 (1996), 373-390.
10. [GhS] P. Ghiggini and S. Schönenberger, On the classification of tight contact structures, preprint (arXiv:math.GT/0201099).
11. [Gi] E. Giroux, Lecture at Oberwolfach, 2001 (see also: http://www.math.uga.edu/̃topology/giroux.pdf).
12. [G] R. Gompf, Handlebody construction of Stein surfaces, Ann. of Math. (2) 148 (1998), 619-693.
13. [GSt] R. Gompf and A. Stipsicz, 4-manifolds and Kirby calculus, Grad. Stud. Math., 20, Amer. Math. Soc., Providence, RI, 1999.
14. [LiMa] P. Lisca and G. Matid, Tight contact structures and Seiberg-Witten invariants, Invent. Math. 129 (1997), 509-525.
15. 4, Invent. Math. 143 (2001), 325-348.
16. [MC] D. McDuff, The structure of rational and ruled symplectic 4-manifolds, J. Amer. Math. Soc. 3 (1990), 679-712.
17. [M] J. Morgan, The Seiberg-Witten equations and applications to the topology of smooth four-manifolds, Math. Notes, 44, Princeton Univ. Press, Princeton, NJ, 1996.
18. 2-moduli space and a vanishing theorem for Donaldson polynomial invariants, Monographs in geometry and topology, vol. II, International Press, Cambridge, MA, 1994.
19. [MSz] J. Morgan and Z. Szabó, Homotopy K3-surfaces and mod 2 Seiberg-Witten invariants, Math. Res. Lett. 4 (1997), 17-21.
20. [OO] H. Ohta and K. Ono, Simple singularities and topology of symplectically filling 4-manifold, Comment. Math. Helv. 74 (1999), 575-590.
21. [OSz1] P. Ozsváth and Z. Szabó, On embedding circle bundles in 4-manifolds, Math. Res. Lett. 7 (2000), 657-669.
22. [OSz2] _, Holomorphic triangle invariants and the topology of symplectic four-manifolds, preprint (arXiv:math.SG/0201049).
23. [St1] A. Stipsicz, Sections of Lefschetz fibrations and Stein fillings, Turkish J. Math. 25 (2001), 97-101.
24. [St2] _, Gauge theory and Stein fillings of certain 3-manifolds, Turkish J. Math. 26 (2002), 115-130.
25. [StSz] A. Stipsicz and Z. Szabó, Gluing 4-manifolds along Σ(2, 3, 11), Topology Appl. 106 (2000), 293-304.
26. [W] E. Witten, Monopoles and four-manifolds, Math, Res. Lett. 1 (1994), 769-796.