Affiliation:
1. Department of Mathematics, Kochi University, Kochi 780-8520, Japan
Abstract
This paper provides a method for realizing an involution on an abstract graph, which does not restrict to an orientation-preserving automorphism on any cycle, by a rigidly achiral hyperbolic spatial embedding into the double of a compact connected orientable 3-manifold with non-empty aspherical boundary. As an application, we show that these hyperbolic spatial graphs are divided into two infinite families consisting of those which are homologically peripheral and those which are not.
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory
Cited by
2 articles.
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