抄録
An ordered and oriented 2-component link L in the 3-sphere is said to be achiral if it is ambient isotopic to its mirror image ignoring the orientation and ordering of the components. Kirk-Livingston showed that if L is achiral then the linking number of L is not congruent to 2 modulo 4. In this paper we study orientation-preserving or reversing symmetries of 2-component links, spatial complete graphs on 5 vertices and spatial complete bipartite graphs on 3 + 3 vertices in detail, and determine necessary conditions on linking numbers and Simon invariants for such links and spatial graphs to be symmetric
| 本文言語 | English |
|---|---|
| ページ（範囲） | 219-236 |
| ページ数 | 18 |
| ジャーナル | Fundamenta Mathematicae |
| 巻 | 205 |
| 号 | 3 |
| DOI | |
| 出版ステータス | Published - 2009 12 1 |
ASJC Scopus subject areas
- Algebra and Number Theory