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http://dx.doi.org/10.4134/JKMS.2014.51.6.1221

KNOTS IN S3 ADMITTING GRAPH MANIFOLD DEHN SURGERIES  

Kang, Sungmo (Department of Mathematics Education Chonnam National University)
Publication Information
Journal of the Korean Mathematical Society / v.51, no.6, 2014 , pp. 1221-1250 More about this Journal
Abstract
In this paper, we construct infinite families of knots in $S^3$ which admit Dehn surgery producing a graph manifold which consists of two Seifert-fibered spaces over the disk with two exceptional fibers, glued together along their boundaries. In particular, we show that for any natural numbers a, b, c, and d with $a{\geq}3$ and $b,c,d{\geq}2$, there are knots in $S^3$ admitting a graph manifold Dehn surgery consisting of two Seifert-fibered spaces over the disk with two exceptional fibers of indexes a, b, and c, d, respectively.
Keywords
knots; Dehn surgery; graph manifolds; Seifert curves; twisted torus knots; R-R diagrams;
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