Korean J. Math.  Vol 22, No 2 (2014)  pp.253-264
DOI: https://doi.org/10.11568/kjm.2014.22.2.253

A classification of links of the flat plumbing basket numbers $4$ or less

Dongseok Kim

Abstract


Flat plumbing basket surfaces of links were introduced to study the geometry of the complement of the links. In present article, we study links of the flat plumbing basket numbers $4$ or less using a special presentation of the flat plumbing basket surfaces. We find a complete classification theorem of links of the flat plumbing basket numbers $4$ or less.

Keywords


Links, Seifert surfaces, Flat plumbing basket number

Subject classification

57M27; 57M25; 57R56

Sponsor(s)

This work was supported by Kyonggi University Research Grant 2011.

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References


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