Fillability of small Seifert fibered spaces

Abstract

On small Seifert fibered spaces $M(e_0;r_1,r_2,r_3)$ with $e_0\ne -1,-2,$ all tight contact structures are Stein fillable. This is not the case for $e_0=-1$ or $-2$. However, for negative twisting structures it is expected that they are all symplectically fillable. Here, we characterize fillable structures among zero-twisting contact structures on small Seifert fibered spaces of the form $M(-1;r_1,r_2,r_3)$. The result is obtained by analyzing monodromy factorizations of associated planar open books.

18 pages, 5 figures

References in corpus (2)

• Tight small Seifert fibered manifolds with $e_0=-2$
• Classification of tight contact structures on small Seifert fibered L-spaces

Cited by in corpus (1)

• Non-loose negative torus knots