Event
01_1
| 제출번호(No.) | 0114 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | Topology (TO) |
| 영문제목 (Title(Eng.)) |
On the quandle coloring of $(1,1)$-tangles |
| 저자(Author(s)) |
Hun Lee1, Yongju Bae1 Kyungpook National University 1 |
| 초록본문(Abstract) | For a quandle $X$, a $(1,1)$-tangle $T$ is $\emph{$X$-colorable}$ if there exists non-trivial coloring map $\textbf{C} : \textbf{A}(T) \rightarrow X$, where $\textbf{A}(T)$ is arcs of $T$. We say that a quandle $X$ is $\emph{end monochromatic}$ for a $(1,1)$-tangle $T$ if any coloring of $T$ by $X$ assigns the same color on the two end arcs \cite{CS}. In this talk, we will study some quandles which are end monochromatic for a $(1,1)$-tangle. \bibitem{CS} W. Edwin Clark, Masahico Saito, {\it Algebraic properties of quandle extensions and values of cocycle knot invariants,} Journal of Knot Theory and Its Ramifications Vol. 25, No. 14 (2016) 1650080 |
| 분류기호 (MSC number(s)) |
57M25, 57M27 |
| 키워드(Keyword(s)) | quandle, coloring, tangle |
| 강연 형태 (Language of Session (Talk)) |
Korean |