Twisted torus knots with graph manifold Dehn surgeries
Bull. Korean Math. Soc. 2016 Vol. 53, No. 1, 273-301
https://doi.org/10.4134/BKMS.2016.53.1.273
Printed January 1, 2016
Sungmo Kang
Chonnam National University
Abstract : In this paper, we classify all twisted torus knots which are doubly middle Seifert-fibered. Also we show that all of these knots possibly except a few admit Dehn surgery producing a non-Seifert-fibered graph manifold which consists of two Seifert-fibered spaces over the disk with two exceptional fibers, glued together along their boundaries. This provides another infinite family of knots in $S^3$ admitting Dehn surgery yielding such manifolds as done in \cite{K14}.
Keywords : knots, Dehn surgery, graph manifolds, Seifert curves, twisted torus knots, R-R diagrams
MSC numbers : Primary 57M25
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