Planar open books, monodromy factorizations, and symplectic fillings
Geometric Topology
2014-11-11 v1
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.
Keywords
Cite
@article{arxiv.0912.1916,
title = {Planar open books, monodromy factorizations, and symplectic fillings},
author = {Olga Plamenevskaya and Jeremy Van Horn-Morris},
journal= {arXiv preprint arXiv:0912.1916},
year = {2014}
}
Comments
20 pages, 13 figures