Andras I. STIPSICZ

7491

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

Sayıdaki Diğer Makaleler

The topology of symplectic manifolds

Robert E. GOMPF

Floer homology and its continuity for non-compact Lagrangian submanifolds

Knotting of algebraic curves in complex surfaces

Sergey FINASHIN

G-bundles on Abelian surfaces, hyperkahler manifolds, and stringy Hodge numbers

Jim BRYAN, Ron DONAGI, Naichung Conan LEUNG

Torus fibrations on symplectic four-manifolds

G-bundles on Abelian surfaces, hyperk\"aler manifolds, and stringy Hodge numbers

Jim Bryan, Ron Donagi, Naichung Conan Leung

The canonical class of a symplectic four manifold

- R.Fintushel-R.Stern:

On the tautological ring of \bar{\mathcal{M}}g,n

Tom Graber-Ravi Vakil

Symplectic maps to projective spaces and symplectic invariants

A partial order on the group of contactomorphisms of \R2n+1 via generating functions