Abstract
AbstractOn small Seifert fibered spaces$M(e_0;\,r_1,r_2,r_3)$with$e_0\neq-1,-2,$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 characterise fillable structures among zero-twisting contact structures on small Seifert fibered spaces of the form$M\left({-}1;\,r_1,r_2,r_3\right)$. The result is obtained by analysing monodromy factorizations of associated planar open books.
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