Skein algebras of the solid torus and symmetric spatial graphs

• Autorzy: Nafaa Chbili
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 57M27: Invariants of knots and 3-manifolds
• 57M25: Knots and links in S 3
• 05C10: Planar graphs; geometric and topological aspects of graph theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2006
• Tom: 190
• Numer: 1
• Strony: 1-10

Daty

wydano

2006

Twórcy

autor

Nafaa Chbili

• Department of Mathematics, Tokyo Institute of Technology, Oh-okayama Meguro Tokyo 152-8551, Japan

Identyfikatory

DOI

10.4064/fm190-0-1