Next Article in Journal / Special Issue
Knots on a Torus: A Model of the Elementary Particles
Previous Article in Journal
Towards Symmetry-Based Explanation of (Approximate) Shapes of Alpha-Helices and Beta-Sheets (and Beta-Barrels) in Protein Structure
Open AccessArticle

Symmetries of Spatial Graphs and Rational Twists along Spheres and Tori

Department of Mathematics, Faculty of Science, Kochi University, 2-5-1 Akebono-cho, Kochi-Shi, Kochi 780-8520, Japan
Symmetry 2012, 4(1), 26-38; https://doi.org/10.3390/sym4010026
Received: 14 November 2011 / Revised: 12 January 2012 / Accepted: 13 January 2012 / Published: 20 January 2012
(This article belongs to the Special Issue Symmetry and Beauty of Knots)
A symmetry group of a spatial graph Γ in S3 is a finite group consisting of orientation-preserving self-diffeomorphisms of S3 which leave Γ setwise invariant. In this paper, we show that in many cases symmetry groups of Γ which agree on a regular neighborhood of Γ are equivalent up to conjugate by rational twists along incompressible spheres and tori in the exterior of Γ. View Full-Text
Keywords: 3-manifold; geometric topology; symmetry; finite group action; spatial graph; rational twist 3-manifold; geometric topology; symmetry; finite group action; spatial graph; rational twist
Show Figures

Figure 1

MDPI and ACS Style

Ikeda, T. Symmetries of Spatial Graphs and Rational Twists along Spheres and Tori. Symmetry 2012, 4, 26-38.

Show more citation formats Show less citations formats

Article Access Map by Country/Region

1
Only visits after 24 November 2015 are recorded.
Back to TopTop