Moduli of flat bundles on open Kahler manifolds

We consider the moduli space M-N of flat unitary connections on an open Kah ler manifold U (complement of a divisor with normal crossings) with restric tions on their monodromy transformations. Using intersection cohomology wit h degenerating coefficients we construct a natural symplectic form F on the smooth locus of M-N. When U is quasi-projective we prove that F is actuall y a Kahler form.