• 제목/요약/키워드: middle/hyper doubly Seifert knots

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DEHN SURGERIES ON MIDDLE/HYPER DOUBLY SEIFERT TWISTED TORUS KNOTS

  • Kang, Sungmo
    • 대한수학회보
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    • 제57권1호
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    • pp.1-30
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    • 2020
  • In this paper, we classify all twisted torus knots which are middle/hyper doubly Seifert. By the definition of middle/hyper doubly Seifert knots, these knots admit Dehn surgery yielding either Seifert-fibered spaces or graph manifolds at a surface slope. We show that middle/hyper doubly Seifert twisted torus knots admit the latter, that is, non-Seifert-fibered graph manifolds whose decomposing pieces consist of two Seifert-fibered spaces over the disk with two exceptional fibers.