Murasugi decomposition and periodic alternating links

作者:Costa Antonio F.*; Hongler Cam Van Quach
来源:Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas, 2018, 112(3): 793-802.
DOI:10.1007/s13398-017-0479-3

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