Symmetries of spatial graphs and rational twists along spheres and tori (Q350578)
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scientific article; zbMATH DE number 6662242
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Symmetries of spatial graphs and rational twists along spheres and tori |
scientific article; zbMATH DE number 6662242 |
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Symmetries of spatial graphs and rational twists along spheres and tori (English)
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9 December 2016
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Summary: A symmetry group of a spatial graph \(\varGamma\) in \(S^3\) is a finite group consisting of orientation-preserving self-diffeomorphisms of \(S^3\) which leave \(\varGamma\) setwise invariant. In this paper, we show that in many cases symmetry groups of \(\varGamma\) which agree on a regular neighborhood of \(\varGamma\) are equivalent up to conjugate by rational twists along incompressible spheres and tori in the exterior of \(\Gamma\).
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3-manifold
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geometric topology
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symmetry
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finite group action
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spatial graph
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rational twist
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