Embedding surfaces into \(S^3\) with maximum symmetry
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Publication:902291
DOI10.4171/GGD/334zbMath1339.57027arXiv1209.1170MaRDI QIDQ902291
Chao Wang, Bruno P. Zimmermann, Yi Mu Zhang, Shi Cheng Wang
Publication date: 8 January 2016
Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1209.1170
Groups acting on specific manifolds (57S25) Geometric group theory (20F65) Planar graphs; geometric and topological aspects of graph theory (05C10) Relations of low-dimensional topology with graph theory (57M15) Group actions on manifolds and cell complexes in low dimensions (57M60)
Related Items (13)
Unnamed Item ⋮ Unnamed Item ⋮ The maximally symmetric surfaces in the 3-torus ⋮ Equivariant embeddings of manifolds into Euclidean spaces ⋮ The maximal systole of hyperbolic surfaces with maximal \(S^3\)-extendable abelian symmetry ⋮ Embedding surfaces into \(S^3\) with maximum symmetry ⋮ Embedding compact surfaces into the 3-dimensional Euclidean space with maximum symmetry ⋮ Graphs in the 3-sphere with maximum symmetry ⋮ On large groups of symmetries of finite graphs embedded in spheres ⋮ Minimal surfaces in the three-dimensional sphere with high symmetry ⋮ Bordered surfaces in the 3-sphere with maximum symmetry ⋮ On large orientation-reversing finite group-actions on 3-manifolds and equivariant Heegaard decompositions ⋮ Maximum orders of cyclic group actions on surfaces extending over the 3-dimensional torus
Uses Software
Cites Work
- Extending finite group actions on surfaces over \(S^3\)
- Embedding surfaces into \(S^3\) with maximum symmetry
- The equivariant Dehn's lemma and loop theorem
- Über Homoeomorphismen \(n\)-dimensionaler Henkelkoerper und endliche Erweiterungen von Schottky-Gruppen
- Group Actions on Handlebodies
- Nonfibering Spherical 3-Orbifolds
- Knots
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- Unnamed Item
- Unnamed Item
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