Difference between revisions of "Brandt-Lickorish-Millett-Ho polynomial"

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An invariant of non-oriented links in , invented at the beginning of 1985 [a1], [a2] and generalized by L.H. Kauffman (the Kauffman polynomial; cf. also Link).

It satisfies the four term skein relation (cf. also Conway skein triple)

and is normalized to be for the trivial knot.


[a1] R.D. Brandt, W.B.R. Lickorish, K.C. Millett, "A polynomial invariant for unoriented knots and links" Invent. Math. , 84 (1986) pp. 563–573
[a2] C.F. Ho, "A new polynomial for knots and links; preliminary report" Abstracts Amer. Math. Soc. , 6 : 4 (1985) pp. 300
How to Cite This Entry:
Brandt-Lickorish-Millett-Ho polynomial. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by Jozef Przytycki (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article