Abstract
In this paper, we express the Seifert matrix of a periodic link which is presented as the closure of a 4-tangle with some extra restrictions, in terms of the Seifert matrix of the quotient link. As a result, we give formulae for the Alexander polynomial and the determinant of such a periodic link.
| Original language | English |
|---|---|
| Pages (from-to) | 749-761 |
| Number of pages | 13 |
| Journal | Journal of Knot Theory and its Ramifications |
| Volume | 20 |
| Issue number | 5 |
| DOIs | |
| State | Published - May 2011 |
Keywords
- Alexander polynomial
- determinant of a link
- Determinant of a matrix
- periodic link
- Seifert matrix