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TWISTED TORUS KNOTS WITH GRAPH MANIFOLD DEHN SURGERIES
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 Title & Authors
TWISTED TORUS KNOTS WITH GRAPH MANIFOLD DEHN SURGERIES
Kang, Sungmo;
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 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 admitting Dehn surgery yielding such manifolds as done in [5].
 Keywords
knots;Dehn surgery;graph manifolds;Seifert curves;twisted torus knots;R-R diagrams;
 Language
English
 Cited by
 References
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J. Berge and S. Kang, Primitive and Seifert curves in a genus two handlebody, preprint.

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5.
S. Kang, Knots in $S^3$ admitting graph manifold Dehn surgeries, J. Korean Math. Soc. 51 (2014), no. 6, 1221-1250. crossref(new window)

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S. Kang, Knots admitting Seifert-fibered surgeries over $S^2$ with four exceptional fibers, Bull. Korean Math. Soc. 52 (2015), no. 1, 313-321. crossref(new window)

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