On two-bridged knot polynomials
- 1 September 1979
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of the Australian Mathematical Society
- Vol. 28 (2) , 241-249
- https://doi.org/10.1017/s1446788700015743
Abstract
The extended diagram of a two-bridged knot is introduced, and it is shown how the coefficients of the Alexander polynomial of the knot may be read straight from this diagram. Using this result, it is shown by diagram manipulation that a conjecture of Fox about the coefficients of the Alexander polynomial of an alternating knot is true at least for two-bridged knots (which are all alternating).1980 Mathematics subject classification (Amer. Math. Soc.): 57 M 25.Keywords
This publication has 3 references indexed in Scilit:
- Geschlecht von Knoten mit zwei Br cken und die Faserbarkeit ihrer Au enr umeMathematische Zeitschrift, 1978
- Genus of Alternating Link TypesAnnals of Mathematics, 1959
- Knoten mit zwei Br ckenMathematische Zeitschrift, 1956