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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 \cite{K14}.
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참고문헌 (7)
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 and Seifert curves in a genus two handlebody / preprint
J. Dean / 2003 / Small Seifert- bered Dehn surgery on hyperbolic knots / Algebr. Geom. Topol 3:435~472
W. Haken / 1968 / Some results on surfaces in 3-manifolds, Studies in Modern Topology / Prentice-Hall :39~98
강성모 / 2014 / KNOTS IN S³ ADMITTING GRAPH MANIFOLD DEHN SURGERIES / 대한수학회지 51(6):1221~1250
J. Berge / Primitive and Seifert curves in a genus two handlebody / preprint
J. Dean / 2003 / Small Seifert- bered Dehn surgery on hyperbolic knots / Algebr. Geom. Topol 3:435~472
W. Haken / 1968 / Some results on surfaces in 3-manifolds, Studies in Modern Topology / Prentice-Hall :39~98
강성모 / 2014 / KNOTS IN S³ ADMITTING GRAPH MANIFOLD DEHN SURGERIES / 대한수학회지 51(6):1221~1250
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