  We study the (relative) SL(2,C) character varieties of the three-holed
projective plane and the action of the mapping class group on them. We describe
a domain of discontinuity for this action, which strictly contains the set of
primitive stable representations defined by Minsky, and also the set of
convex-cocompact characters. We consider the relationship with the previous
work of the authors and S. P. Tan on the character variety of the four-holed
sphere.
