On hyperelliptic C∞-Lefschetz fibrations of four-manifolds

Communications in Contemporary Mathematics

Volumn 1, Issue 2, 1999, Pages 255-280

  Siebert, Bernd ^a   Tian, Gang ^b  

^a RUHR UNIVERSITY BOCHUM   (Germany)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 22844455375     PISSN: 02191997     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219199799000110     Document Type: Article

References (19)

1. J. Amorós, F. Bogomolov, L. Katzarkov and T. Pantev, Symplectic Lefschetz fibrations with arbitrary fundamental groups, preprint math.GT/9810042.
2. R. Baer, Isotopie von Kurven auf orientierbaren Flächen und ihr Zusammenhang mit der topologischen Deformation der Flächen, J. f. Math. 159 (1928) 101-116.
3. J. Birman, Braids, Links and Mapping Class Groups, Princeton University Press, 1974.
4. J. Birman and H. Hilden, On the mapping class groups of closed surfaces as covering spaces, in L. Ahlfors et al. eds., Advances in the theory of Riemann surfaces, Ann. Math. Studies 66 (1971) 81-115.
5. E. Brieskorn, Über die Auflösung gewisser Singularitäten von holomorphen Abbildungen, Math. Ann. 166 (1966).
6. K. Chakiris, The Monodromy of Genus Two Pencils, Thesis, Columbia Univ. 1983.
7. T. Fuller, Lefschetz fibrations and 3-fold branched covering spaces, preprint math.GT/9806010.
8. T. Fuller, Lefschetz fibrations and 3-fold branched covering spaces II, preprint math.GT/9811093.
9. 2, Ann. Math. 104 (1976) 357-387,
10. Inv. Math. 37 (1976) 121-155,
11. Inv. Math. 47 (1978) 209-248,
12. Inv. Math. 50 (1979) 103-128.
13. A. Kas, On the handlebody decomposition associated to a Lefschetz fibration, Pacific J. Math. 89 (1980), 89-104.
14. D. McDuff, The structure of rational and ruled symplectic four-manifolds, J. Amer. Math. Soc. 3 (1990) 679-712.
15. B. Moishezon, Complex surfaces and connected sums of complex projective planes, Lecture Notes in Math. 603, Springer, 1977.
16. B. Ozbagci and A. Stipsicz, Noncomplex smooth 4-manifolds with genus-2 Lefschetz fibrations, preprint math.GT/9310007.
17. U. Persson, Chern invariants of surfaces of general type, Comp. Math. 43 (1981) 3-58.
18. U. Persson, C. Peters and G. Xiao, Geography of spin surfaces, Topology 35 (1996) 845-862.
19. B. Wajnryb, A simple presentation for the mapping class group of an orientable surface, Israel J. Math. 45 (1983) 157-174.