Abstract
We study fillings of contact structures supported by planar open books by analyzing positive factorizations of their monodromy. Our method is based on Wendl's theorem on symplectic fillings of planar open books. We prove that every virtually overtwisted contact structure on L(p, 1) has a unique filling, and describe fillable and nonfillable tight contact structures on certain Seifert fibered spaces.
| Original language | English |
|---|---|
| Pages (from-to) | 2077-2101 |
| Number of pages | 25 |
| Journal | Geometry and Topology |
| Volume | 14 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2010 |
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