About some infinite family of 2-bridge knots and 3-manifolds. (15th July 2000)

• Record Type: Journal Article
• Authors: Kim, Yangkok
• Is Part Of: International journal of mathematics and mathematical sciences. Volume 24:Number 2(2000)
• Page Start: 95
• Page End: 108
• Publication Date: 2000-07-15
• Subjects: 2-bridge knot -- 3-manifold -- branched covering -- maximally symmetric; Mathematics -- Periodicals; 510.5
• DOI: 10.1155/S0161171200003422
• Languages: English
• ISSNs: 0161-1712

Abstract

Abstract : We construct an infinite family of 3-manifolds and show that these manifolds have cyclically presented fundamental groups and are cyclic branched coverings of the 3-sphere branched over the 2-bridge knots( ℓ + 1 ) 2 or( ℓ + 1 ) 1, that are the closure of the rational( 2 ℓ − 1 ) / ( ℓ − 1 ) -tangles or( 2 ℓ − 1 ) / ℓ -tangles, respectively.