研究分野 |
数理情報科学(位相幾何学) |
掲載誌 |
Topology and its Applications |
論文題目 |
Colorings and doubled colorings of virtual doodles |
著者 |
Andrew Bartholomewa, Roger Fenna, Naoko Kamada, and Seiichi Kamadac |
所属機関 |
University of Sussex, 名市大, 阪大 |
概要 |
A virtual doodle is an equivalence class of virtual diagrams under an equivalence relation generated by flat version of classical Reidemeister moves and virtual Reidemeister moves such that Reidemeister moves of type 3 are forbidden. In this paper we discuss colorings of virtual diagrams using an algebra, called a doodle switch, and define an invariant of virtual doodles. Besides usual colorings of diagrams, we also introduce doubled colorings. |
掲載日 |
2019年9月1日 |
DOI |
https://doi.org/10.1016/j.topol.2019.06.028 |
備考 |
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