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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.
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참고문헌 (8)
참고문헌 신청
J. Berge / A classification of pairs of disjoint nonparallel primitives in the boundary of a genus two handlebody / arXiv:0910.3038
J. Berge / Primitive, proper power, and Seifert curves in the boundary of a genus two handlebody
Michel Boileau / 1988 / On Heegaard decompositions of torus knot exteriors and related Seifert fibre spaces / Mathematische Annalen 279(3):553~581
John C Dean / 2003 / Small Seifert-fibered Dehn surgery on hyperbolic knots / Algebraic & Geometric Topology 3(1):435~472
강성모 / 2014 / KNOTS IN S³ ADMITTING GRAPH MANIFOLD DEHN SURGERIES / 대한수학회지 51(6):1221~1250
J. Berge / Primitive, proper power, and Seifert curves in the boundary of a genus two handlebody
Michel Boileau / 1988 / On Heegaard decompositions of torus knot exteriors and related Seifert fibre spaces / Mathematische Annalen 279(3):553~581
John C Dean / 2003 / Small Seifert-fibered Dehn surgery on hyperbolic knots / Algebraic & Geometric Topology 3(1):435~472
강성모 / 2014 / KNOTS IN S³ ADMITTING GRAPH MANIFOLD DEHN SURGERIES / 대한수학회지 51(6):1221~1250
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