Fillability of small Seifert fibered spaces

Matkovic, Irena (2023) Fillability of small Seifert fibered spaces. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 174 (3). pp. 585-604. ISSN 0305-0041

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Abstract

On small Seifert fibered spaces M(e0; r1, r2, r3) with e0 ≠ -1, -2 all tight contact structures are Stein fillable. This is not the case for e0 = -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(-1;r1,r2,r3). The result is obtained by analysing monodromy factorizations of associated planar open books. © The Author(s), 2022. Published by Cambridge University Press on behalf of Cambridge Philosophical Society.

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