On the number of vanishing cycles in Lefschetz fibrations

Mathematical Research Letters

Volumn 6, Issue 3-4, 1999, Pages 449-456

  Stipsicz, András I ^a,b  

^a EÖTVÖS LORÁND UNIVERSITY   (Hungary)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033245950     PISSN: 10732780     EISSN: None     Source Type: Journal    
DOI: 10.4310/mrl.1999.v6.n4.a7     Document Type: Article

References (17)

1. [ABKP] J. Amorós, F. Bogomolov, L. Katzarkov and T. Pantev, Symplectic Lefschetz fibrations with arbitrary fundamental groups, preprint.
2. [C] C. Cadavid, Ph.D. dissertation, UT Austin, 1998.
3. [D] S. Donaldson, Lefschetz fibrations in symplectic geometry, Proceedings of the International Congress of Mathematicians, Vol. II (Berlin, 1998), Doc. Math. (1998), Extra Vol. II, 309-314.
4. [D] S. Donaldson, Lefschetz fibrations in symplectic geometry, Proceedings of the International Congress of Mathematicians, Vol. II (Berlin, 1998), Doc. Math. (1998), Extra Vol. II, 309-314.
5. [FS] R. Fintushel and R. Stern, Immersed spheres in 4-manifolds and the immersed Thom-conjecture, Turkish J. Math. 19 (1995), 145-157.
6. [GS] R. Gompf and A. Stipsicz, 4-manifolds and Kirby calculus, book to appear.
7. [KO] M. Korkmaz and B. Ozbagci, Minimal number of singular fibers in a Lefschetz fibration, preprint.
8. [La] K. Lamotke, The topology of complex projective varieties after S. Lefschetz, Topology 20 (1981), 15-51.
9. [L1] T.-J. Li, Smoothly embedded spheres in symplectic 4-manifolds, Proc. Amer. Math. Soc. 127 (1999), 609-613.
10. [L2] _, Lefschetz fibrations and symplectic 4-manifolds, preprint.
11. [L3] _, private communication.
12. [Liu] A. Liu, Some new applications of the general wall crossing formula, Math. Res. Lett. 3 (1996), 569-585.
13. [M] D. McDuff, The local behaviour of holomorphic curves in almost-complex 4-manifolds, J. Diff. Geom. 34 (1991), 311-358.
14. [Ob] B. Ozbagci, Signatures of Lefschetz fibrations, preprint.
15. [S] A. Stipsicz, Chern numbers of certain Lefschetz fibrations, Proc. Amer. Math. Soc., to appear.
16. [T1] C. Taubes, The Seiberg-Witten invariants and symplectic forms, Math. Res. Lett. 1 (1994), 809-822.
17. [T2] _, SW ⇒ Gr: From the Seiberg-Witten equations to pseudo-holomorphic curves, J. Amer. Math. Soc. 9 (1996), 845-918.