Skein Algebras of the solid torus and symmetric spatial graphs

Details Skein Algebras of the solid torus and symmetric spatial graphs Skein Algebras of the solid torus and symmetric spatial graphs

2006-01-17

arxiv.org/abs/math/0601403v1

Mathematics

Geometric Topology

13 pages, 7 figures

Scientific paper

We use the topological invariant of spatial graphs introduced by S. Yamada to
find necessary conditions for a spatial graph to be periodic with a prime
period. The proof of the main result is based on computing the Yamada skein
algebra of the solid torus then proving that this algebra injects into the
Kauffman bracket skein algebra of the solid torus.

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