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http://dx.doi.org/10.4134/BKMS.2015.52.1.313

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

Kang, Sungmo (Department of Mathematics Education Chonnam National University)
Publication Information
Bulletin of the Korean Mathematical Society / v.52, no.1, 2015 , pp. 313-321 More about this Journal
Abstract
In this paper, we construct infinite families of knots in $S^3$ which admit Dehn surgery producing a Seifert-fibered space over $S^2$ 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 $S^3$ admits a Seifert-fibered space over $S^2$ with four exceptional fibers as Dehn surgery.
Keywords
knots; Dehn surgery; Seifert-fibered spaces; twisted torus knots;
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