Planar open books, monodromy factorizations, and symplectic fillings
arXiv:0912.1916 · doi:10.2140/gt.2010.14.2077
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 non-fillable tight contact structures on certain Seifert fibered spaces.
20 pages, 13 figures