Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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KNOTS ADMITTING SEIFERT-FIBERED SURGERIES OVER S2 WITH FOUR EXCEPTIONAL FIBERS

  • Kang, Sungmo (Department of Mathematics Education Chonnam National University)
  • Received : 2014.02.17
  • Published : 2015.01.31
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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.

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References

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Cited by

  1. TWISTED TORUS KNOTS WITH GRAPH MANIFOLD DEHN SURGERIES vol.53, pp.1, 2016, https://doi.org/10.4134/BKMS.2016.53.1.273