We study the Jahn-Teller effect of positive fullerene ions C-2(60)+ an
d C-1(60)2+. The aim is to discover if this case, in analogy with the
negative ion, possesses a Berry phase or not, and what are the consequ
ences on dynamical Jahn-Teller quantization. Working in the linear and
spherical approximation, we find no Berry phase in C-1(60)2+, and pre
sence/absence of Berry phase for coupling of one L=2 hole to an L=4/L=
2 vibration. We study in particular the special equal-coupling case (g
(2)=g(4)), which is reduced to the motion of a particle on a five-dime
nsional sphere. In the icosahedraI molecule, the final outcome assesse
s the presence and/or absence of a Berry phase of pi for the h(u) hole
coupled to G(g)/H-h vibrations. Some qualitative consequences on grou
ndstate symmetry, low-lying excitations, and electron emission from C-
60 are spelled out.