Andras I. STIPSICZ

7084

Sections of Lefschetz fibrations and Stein fillings

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.

Anahtar Kelimeler:

Turk. J. Math., 25, (2001), 97-102. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.25, iss.1.

Sections of Lefschetz fibrations and Stein fillings

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.,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

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