Topological symmetry groups and mapping class groups for spatial graphs

Details Topological symmetry groups and mapping class groups for spatial graphs Topological symmetry groups and mapping class groups for spatial graphs

2011-11-11

arxiv.org/abs/1111.2668v1

Mathematics

Geometric Topology

10 pages, 2 figures

Scientific paper

We give a necessary and sufficient condition for the mapping class group of
the pair of the 3-sphere and a graph embedded in it to be isomorphic to the
topological symmetry group of the embedded graph.

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