摘要
Let L be a prime non-splittable alternating oriented link in . Claude Weber and the second author showed that the collection of Murasugi atoms and the adjacency graph of Murasugi decomposition are topological invariants of L. As a consequence, we note that if L has a q-periodic alternating diagram then the adjacency graph admits an automorphism of order q and each Murasugi atom of L is either q-periodic or occurs a multiple of q times in the atoms collection of L. We apply this fact to study the leading coefficient of the Conway polynomial of this type of links.
- 出版日期2018-7