On bind maps for braids

T. Murao*

*この研究の対応する著者

研究成果: Article査読

1 被引用数 (Scopus)

抄録

We introduce a map, which we call the bind map, from the set of all classical braids to that of all trivalent braids. Then we define a notation for handlebody-links with a pair of a bind map and a classical braid. We show that isotopies and braid relations are equivalent for trivial handlebody-braids obtained from classical 3-braids with bind maps. We introduce two types of graphs for a classical braid, which indicate how the binding forms of the trivalent braids are transformed each other. We determine all patterns of the graphs for classical 3-braids.

本文言語English
論文番号1650004
ジャーナルJournal of Knot Theory and its Ramifications
25
2
DOI
出版ステータスPublished - 2016 2月 1
外部発表はい

ASJC Scopus subject areas

  • 代数と数論

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