Jones, Vaughan F. R. Coincident link polynomials from commuting transfer matrices. (English) Zbl 0813.57004 Catto, Sultan (ed.) et al., Differential geometric methods in theoretical physics. Proceedings of the 20th international conference, June 3-7, 1991, New York City, NY, USA. Vol. 1-2. Singapore: World Scientific. 137-151 (1992). Summary: Borrowing from an argument in statistical mechanics we give a machine for constructing pairs of links with the same skein polynomials. Examples are generally not mutants (Kauffman polynomials differ) and can have small crossing numbers, e.g. the coinicidence \(V_{4_ 1 \# 4_ 1} = V_{8_ 9}\) is explained.For the entire collection see [Zbl 0801.00032]. MSC: 57M25 Knots and links in the \(3\)-sphere (MSC2010) 20F36 Braid groups; Artin groups Keywords:pairs of links with the same skein polynomials; mutants × Cite Format Result Cite Review PDF