R. Gambini et al., A SPIN NETWORK GENERALIZATION OF THE JONES POLYNOMIAL AND VASSILIEV INVARIANTS, Physics letters. Section B, 425(1-2), 1998, pp. 41-47
We apply the ideas of Alvarez and Labastida to the invariant of spin n
etworks defined by Witten and Martin based on Chern-Simons theory. We
show that it is possible to define ambient invariants of spin networks
that (for the case of SU(2)) can be considered as extensions to spin
networks of the Jones polynomial. Expansions of the coefficients of th
e polynomial yield primitive Vassiliev invariants. The resulting invar
iants are candidates for solutions of the Wheeler-DeWitt equations in
the spin network representation of quantum gravity. (C) 1998 Elsevier
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