The Yamada polynomial of lens spatial graphs

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1 Citation (Scopus)

Abstract

Let $\tilde G$ be a spatial graph in the 3-sphere which covers a graph in the lens space. We introduce a combinatorial representation of $\tilde G$ which reflects the symmetry of the spatial graph. This representation involves a ribbon n-graph and the generator of the center of the n-braid group. We apply this result to study the Yamada polynomial of a class of lens spatial graphs.

Original languageEnglish
Article number1550029
JournalAsian-European Journal of Mathematics
Volume8
Issue number2
DOIs
Publication statusPublished - Jun 1 2015

Keywords

  • lens spaces
  • Ribbon graphs
  • Yamada polynomial

ASJC Scopus subject areas

  • Mathematics(all)

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