arXiv:math/0601403 Abstract

arXiv:math/0601403 [math.GT]Abstract References Reviews Resources

Skein Algebras of the solid torus and symmetric spatial graphs

Published 2006-01-17Version 1

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.

Comments: 13 pages, 7 figures

Categories: math.GT

Subjects: 57M25, 57M15

Keywords: solid torus, symmetric spatial graphs, kauffman bracket skein algebra, yamada skein algebra, prime period

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