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arXiv · 1608.00543

Fillability of small Seifert fibered spaces

Irena Matkovič
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Abstract

On 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 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.

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BibTeXRIS

Irena Matkovič. 2016-08-01. Fillability of small Seifert fibered spaces. https://doi.org/10.1017/s0305004122000433

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