- 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 ㆍOnline Submission ㆍMy Manuscript - For Reviewers - For Editors
 On infinite classes of genus two 1-bridge knots Commun. Korean Math. Soc. 2004 Vol. 19, No. 3, 531-544 Printed September 1, 2004 Soo Hwan Kim, Yangkok Kim Dongeui University, Dongeui University Abstract : We study a family of $2$-bridge knots with $2$-tangles in the $3$-sphere admitting a genus two $1$-bridge splitting. We also observe a geometric relation between $(g-1,1)$-splitting and $(g,0)$-splitting for $g=2,3$. Moreover we construct a family of \ closed orientable $3$-manifolds which are $n$-fold cyclic coverings of the $3$-sphere branched over those $2$% -bridge knots. Keywords : Heegaard Diagram, (2,1)-decomposition, covering space MSC numbers : Primary 57M12, 57M25; Secondary 57M50, 57N10 Downloads: Full-text PDF

 Copyright © Korean Mathematical Society. The Korea Science Technology Center (Rm. 411), 22, Teheran-ro 7-gil, Gangnam-gu, Seoul 06130, Korea Tel: 82-2-565-0361  | Fax: 82-2-565-0364  | E-mail: paper@kms.or.kr   | Powered by INFOrang Co., Ltd