Skein algebras of the solid torus and symmetric spatial graphs

Nafaa Chbili

Fundamenta Mathematicae (2006)

  • Volume: 190, Issue: 1, page 1-10
  • ISSN: 0016-2736

Abstract

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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.

How to cite

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Nafaa Chbili. "Skein algebras of the solid torus and symmetric spatial graphs." Fundamenta Mathematicae 190.1 (2006): 1-10. <http://eudml.org/doc/282584>.

@article{NafaaChbili2006,
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.},
author = {Nafaa Chbili},
journal = {Fundamenta Mathematicae},
keywords = {Yamada polynomial; Kauffman bracket skein modules; periodic spatial graphs},
language = {eng},
number = {1},
pages = {1-10},
title = {Skein algebras of the solid torus and symmetric spatial graphs},
url = {http://eudml.org/doc/282584},
volume = {190},
year = {2006},
}

TY - JOUR
AU - Nafaa Chbili
TI - Skein algebras of the solid torus and symmetric spatial graphs
JO - Fundamenta Mathematicae
PY - 2006
VL - 190
IS - 1
SP - 1
EP - 10
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.
LA - eng
KW - Yamada polynomial; Kauffman bracket skein modules; periodic spatial graphs
UR - http://eudml.org/doc/282584
ER -

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