Some remarks on cabling, contact structures, and complex curves

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Hedden, Matthew
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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.
Comment: 11 pages, 1 figure. This paper will appear in the Proceedings of the 2007 Gokova Geometry and Topology conference
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Mathematics - Geometric Topology, Mathematics - Symplectic Geometry, 57M25, 57M25, 53D10
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