Sections of Lefschetz fibrations and Stein fillings
Authors : Andras Stipsicz
Pages : 97-102
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Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :Using Eliashberg's theorem about Stein fillings of S3 we prove that a section of a Lefschetz fibration over S2 has nonnegative square. This observation, in particular, implies that the identity element 1\in G g 1 in the mapping class group of a genus-g surface with one boundary component cannot be written as a product of positive Dehn twists.Keywords : Turk. J. Math., 25, (2001), 97-102. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.25, iss.1.