  Let \Sigma be a compact orientable surface with genus g and n boundary
components B = (B_1,..., B_n). Let c = (c_1,...,c_n) in [-2,2]^n. Then the
mapping class group MCG of \Sigma acts on the relative SU(2)-character variety
X_c := Hom_C(\pi, SU(2))/SU(2), comprising conjugacy classes of representations
\rho with tr(\rho(B_i)) = c_i. This action preserves a symplectic structure on
the smooth part of X_c, and the corresponding measure is finite. Suppose g = 1
and n = 2. Let J be the subgroup of MCG generated by Dehn twists along null
homologous simple loops in \Sigma. Then the action of J on X_c is ergodic for
almost all c.
