About some infinite family of 2-bridge knots and 3 -manifolds

Yangkok Kim

International Journal of Mathematics and Mathematical Sciences, 2000, vol. 24, 1-14

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.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:519867

DOI: 10.1155/S0161171200003422

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