Skein algebras of the solid torus and symmetric spatial graphs

Volume 190 / 2006

Nafaa Chbili Fundamenta Mathematicae 190 (2006), 1-10 MSC: 05C10, 57M25, 57M27. DOI: 10.4064/fm190-0-1

Abstract

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 and then proving that it injects into the Kauffman bracket skein algebra of the solid torus.

Authors

  • Nafaa ChbiliDepartment of Mathematics
    Tokyo Institute of Technology
    Oh-okayama Meguro Tokyo 152-8551, Japan
    e-mail

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