Conway skein triple
Three oriented link diagrams, or tangle diagrams, , , in , or more generally, in any three-dimensional manifold, that are the same outside a small ball and in the ball look like
Similarly one can define the Kauffman bracket skein triple of non-oriented diagrams , and , and the Kauffman skein quadruple, , , and , used to define the Brandt–Lickorish–Millett–Ho polynomial and the Kauffman polynomial:
Generally, a skein set is composed of a finite number of -tangles and can be used to build link invariants and skein modules (cf. also Skein module).
|[a1]||J.H. Conway, "An enumeration of knots and links" J. Leech (ed.) , Computational Problems in Abstract Algebra , Pergamon (1969) pp. 329–358|
Conway skein triple. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Conway_skein_triple&oldid=14693