KNOTS ADMITTING SEIFERT-FIBERED SURGERIES OVER S2 WITH FOUR EXCEPTIONAL FIBERS

Title & Authors
KNOTS ADMITTING SEIFERT-FIBERED SURGERIES OVER S2 WITH FOUR EXCEPTIONAL FIBERS
Kang, Sungmo;

Abstract
In this paper, we construct infinite families of knots in $\small{S^3}$ which admit Dehn surgery producing a Seifert-fibered space over $\small{S^2}$ with four exceptional fibers. Also we show that these knots are turned out to be satellite knots, which supports the conjecture that no hyperbolic knot in $\small{S^3}$ admits a Seifert-fibered space over $\small{S^2}$ with four exceptional fibers as Dehn surgery.
Keywords
knots;Dehn surgery;Seifert-fibered spaces;twisted torus knots;
Language
English
Cited by
1.
TWISTED TORUS KNOTS WITH GRAPH MANIFOLD DEHN SURGERIES,;

대한수학회보, 2016. vol.53. 1, pp.273-301
1.
TWISTED TORUS KNOTS WITH GRAPH MANIFOLD DEHN SURGERIES, Bulletin of the Korean Mathematical Society, 2016, 53, 1, 273
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