- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnlilne Submission ㆍMy Manuscript - For Reviewers - For Editors
 Knots admitting Seifert-fibered surgeries over $S^2$ with four exceptional fibers Bull. Korean Math. Soc. 2015 Vol. 52, No. 1, 313-321 https://doi.org/10.4134/BKMS.2015.52.1.313Printed January 31, 2015 Sungmo Kang Chonnam National University Abstract : In this paper, we construct infinite families of knots in $S^3$ which admit Dehn surgery producing a Seifert-fibered space over $S^2$ with four exceptional fibers. Also we show that these knots are turned out to be satellite knots, which supports the conjecture that no hyperbolic knot in $S^3$ admits a Seifert-fibered space over $S^2$ with four exceptional fibers as Dehn surgery. Keywords : knots, Dehn surgery, Seifert-fibered spaces, twisted torus knots MSC numbers : Primary 57M25 Downloads: Full-text PDF