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 language | English |
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Article number | 1550029 |
Journal | Asian-European Journal of Mathematics |
Volume | 8 |
Issue number | 2 |
DOIs | |
Publication status | Published - Jun 1 2015 |
Keywords
- lens spaces
- Ribbon graphs
- Yamada polynomial
ASJC Scopus subject areas
- Mathematics(all)