Skein algebras of the solid torus and symmetric spatial graphs

Nafaa Chbili

doi:10.4064/fm190-0-1

Skein algebras of the solid torus and symmetric spatial graphs

Nafaa Chbili

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1-10
Number of pages	10
Journal	Fundamenta Mathematicae
Volume	190
DOIs	https://doi.org/10.4064/fm190-0-1
Publication status	Published - 2006
Externally published	Yes

Keywords

Kauffman bracket skein modules
Periodic spatial graphs
Yamada polynomial

ASJC Scopus subject areas

Algebra and Number Theory

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10.4064/fm190-0-1

Cite this

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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.",

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author = "Nafaa Chbili",

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AB - 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.

KW - Kauffman bracket skein modules

KW - Periodic spatial graphs

KW - Yamada polynomial

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JF - Fundamenta Mathematicae

ER -

Skein algebras of the solid torus and symmetric spatial graphs

Abstract

Keywords

ASJC Scopus subject areas

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