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TWISTED TORUS KNOTS WITH GRAPH MANIFOLD DEHN SURGERIES

  • Kang, Sungmo
  • Received : 2015.02.17
  • Published : 2016.01.31

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 [5].

Keywords

knots;Dehn surgery;graph manifolds;Seifert curves;twisted torus knots;R-R diagrams

References

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