  We consider a cobordism category whose morphisms are punctured connect sums
of $S^1 \times S^2$'s (wormhole spaces) with embedded admissibly colored banded
trivalent graphs. We define a TQFT on this cobordism category over the field of
rational functions in an indeterminant $A.$ For $r$ large, we recover, by
specializing $A$ to a primitive 4rth root of unity, the
Witten-Reshetikhin-Turaev TQFT restricted to links in wormhole spaces. Thus,
for $r$ large, the $r$th Witten-Reshetikhin-Turaev invariant of a link in some
wormhole space, properly normalized, is the value of a certain rational
function at $e^{\frac{\pi i}{2r}}.$ We relate our work to Hoste and Przytycki's
calculation of the Kauffman bracket skein module of $S^1 \times S^2.$
