Alexander-Conway polynomial
From Encyclopedia of Mathematics
Revision as of 17:37, 24 March 2012 by Ulf Rehmann (talk | contribs) (moved Alexander–Conway polynomial to Alexander-Conway polynomial: ascii title)
The normalized version of the Alexander polynomial (cf. also Alexander invariants). It satisfies the Conway skein relation (cf. also Conway skein triple)
 |
and the initial condition 
, where 
is the trivial knot (cf. also Knot theory). For 
one gets the original Alexander polynomial (defined only up to 
).
References
| [a1] | J.W. Alexander, "Topological invariants of knots and links" Trans. Amer. Math. Soc. , 30 (1928) pp. 275–306 |
| [a2] | J.H. Conway, "An enumeration of knots and links" J. Leech (ed.) , Computational problems in abstract algebra , Pergamon (1969) pp. 329–358 |
| [a3] | L.H. Kauffman, "The Conway polynomial" Topology , 20 : 1 (1981) pp. 101–108 |
How to Cite This Entry:
Alexander-Conway polynomial. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Alexander-Conway_polynomial&oldid=32689
Alexander-Conway polynomial. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Alexander-Conway_polynomial&oldid=32689
This article was adapted from an original article by Jozef Przytycki (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article