Volume 14, issue 4 (2010)

 Recent Issues
 The Journal About the Journal Subscriptions Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page Author Index To Appear ISSN (electronic): 1364-0380 ISSN (print): 1465-3060
Planar open books, monodromy factorizations and symplectic fillings

Olga Plamenevskaya and Jeremy Van Horn-Morris

Geometry & Topology 14 (2010) 2077–2101
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 $L\left(p,1\right)$ has a unique filling, and describe fillable and nonfillable tight contact structures on certain Seifert fibered spaces.

Keywords
contact structures, open books, symplectic filling
Primary: 57R17
Secondary: 53D35