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arXiv 2011-09-24 DOI 10.1142/S0218216512400068 1 views

Biquandles with structures related to virtual links and twisted links

Kamada, Naoko · Kamada, Seiichi

Original · EN

We introduce two kinds of structures, called v-structures and t-structures, on biquandles. These structures are used for colorings of diagrams of virtual links and twisted links such that the numbers of colorings are invariants. Given a biquandle or a quandle, we give a method of constructing a biquandle with these structures. Using the numbers of colorings, we show that Bourgoin's twofoil and non-orientable virtual m-foils do not represent virtual links.

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