[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2016.53.1.273

TWISTED TORUS KNOTS WITH GRAPH MANIFOLD DEHN SURGERIES

Kang, Sungmo (Department of Mathematics Education Chonnam National University)

Publication Information

Bulletin of the Korean Mathematical Society / v.53, no.1, 2016 , pp. 273-301 More about this Journal

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;

Citations & Related Records

Times Cited By KSCI : 2 (Citation Analysis)

Reference
Cited By KSCI

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