Graph skein modules and symmetry of spatial graphs

Mathematics – Geometric Topology

Scientific paper

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Scientific paper

In this paper, we compute the graph skein algebra of the punctured disk with
two holes. Then, we apply the graph skein techniques developed here to
establish necessary conditions for a spatial graph to have a symmetry of order
$p$, where $p$ is a prime. The obstruction criteria introduced here extend some
results obtained earlier for symmetric spatial graphs.

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