Brandt-Lickorish-Millett-Ho polynomial
From Encyclopedia of Mathematics
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.
References
| [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: http://encyclopediaofmath.org/index.php?title=Brandt-Lickorish-Millett-Ho_polynomial&oldid=18535
Brandt-Lickorish-Millett-Ho polynomial. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Brandt-Lickorish-Millett-Ho_polynomial&oldid=18535
This article was adapted from an original article by Jozef Przytycki (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article