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Symmetries of spatial graphs and Simon i...
Nikkuni, Ryo...
Symmetries of spatial graphs and Simon invariants by Nikkuni, Ryo ( Author )
N.A
01-08-2007
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 the necessary conditions on linking numbers and Simon invariants for such links and spatial graphs to be symmetric.
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Article
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36.88 KB
English
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MYR 0.00
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https://arxiv.org/abs/0708.0066
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