A note on the Lickorish-Millett-Turaev formula for the Kauffman   polynomial
  We use the idea of expressing a nonoriented link as a sum of all oriented links corresponding to the link to present a short proof of the Lickorish-Millett-Turaev formula for the Kauffman polynomial at $z= -a- a^{-1}$. Our approach explains the observation made by Lickorish and Millett that the formula is the generating function for the linking number of a sublink of the given link with its complementary sublink. 
Jozef H. Przytycki (GWU)
math.GT