  We study the topology of the moduli space of flat SU(2)-bundles over a
nonorientable surface X. This moduli space may be identified with the space of
homomorphisms Hom(\pi_1(X),SU(2)) modulo conjugation by SU(2). In particular,
we compute the (rational) equivariant cohomology ring of Hom(\pi_1(X),SU(2))
and use this to compute the ordinary cohomology groups of the quotient
Hom(\pi_1(X),SU(2))/SU(2). A key property is that the conjugation action is
equivariantly formal.
