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CALCULATING THE FUNDAMENTAL BIQUANDLES OF SURFACE LINKS FROM THEIR CH–DIAGRAMS

SOSUKE ASHIHARA

Department of Mathematics, Hiroshima University, Higashi–Hiroshima, 739–8526, Japan

https://doi.org/10.1142/S0218216512501027Cited by:5 (Source: Crossref)

Abstract

The fundamental biquandle is an invariant of an oriented surface link, which is defined by a presentation obtained from a surface diagram of the surface link: The generating set consists of labels of the semi-sheets and the relator set consists of relations defined at the double point curves. Any surface link can be presented by a link diagram with some markers which is called a ch-diagram. Using this fact, we give a method for calculating the fundamental biquandle of a surface link from its ch-diagram directly.

Keywords:

AMSC: 57Q45, 57M27

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