Some remarks on cabling, contact structures, and complex curves
Geometric Topology
2008-04-29 v1 Symplectic Geometry
Abstract
We determine the relationship between the contact structure induced by a fibered knot, K, in the three-sphere and the contact structures induced by its various cables. Understanding this relationship allows us to classify fibered cable knots which bound a properly embedded complex curve in the four-ball satisfying a genus constraint. This generalizes the well-known classification of links of plane curve singularities.
Keywords
Cite
@article{arxiv.0804.4327,
title = {Some remarks on cabling, contact structures, and complex curves},
author = {Matthew Hedden},
journal= {arXiv preprint arXiv:0804.4327},
year = {2008}
}
Comments
11 pages, 1 figure. This paper will appear in the Proceedings of the 2007 Gokova Geometry and Topology conference