Planar open books and symplectic fillings
Stephan Schönenberger · Scholarly Commons (University of Pennsylvania) · 2005
A construction is given that shows an interesting family of Stein finable contact 3-manifolds are supported by planar open books. Knowing that a Stein finable contact 3-manifold is supported by a planar open book might enable one to determine the diffeomorphism types of fillings. We demonstrate this technique by showing that the small Seifert fibred space M(−3; −2, −2, −2) has a unique Stein filling.