Planar open books, monodromy factorizations and symplectic fillings

By O. Plamenevskaya, Jeremy Van Horn-Morris. 2009

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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.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/cb19f36b440e36d7cd5eaa914990b9c43e88155f