Explicit concave fillings of contact three-manifolds
Geometric Topology
2009-11-07 v3 Symplectic Geometry
Abstract
In this paper we give explicit, handle-by-handle constructions of concave symplectic fillings of all closed, oriented contact 3-manifolds. These constructions combine recent results of Giroux relating contact structures and open book decompositions of 3-manifolds, earlier results of the author on attaching 4-dimensional symplectic 2-handles along transverse links, and some tricks with mapping class groups of compact surfaces with non-empty boundary.
Keywords
Cite
@article{arxiv.math/0104059,
title = {Explicit concave fillings of contact three-manifolds},
author = {David T. Gay},
journal= {arXiv preprint arXiv:math/0104059},
year = {2009}
}
Comments
15 pages. Accepted for publication in the Mathematical Proceedings of the Cambridge Philosophical Society. Current version is identical to final version submitted to the journal, differs from original version only in some notation and minor editorial changes