%0 Journal Article
%T Logarithmic forms with twisted coefficients
%A Philip Foth
%J Mathematics
%D 1998
%I arXiv
%X Given a compact Kaehler manifold, we consider the complement U of a divisor with normal crossings and a unitary local system V on it. We consider a differential graded Lie algebra (DGLA) of forms with holomorphic logarithmic singularities and vanishing residues. We construct a spectral sequence corresponding to the anti-holomorphic filtration of this algebra and compute its E1 term. This spectral sequence converges to the L2 cohomology H2*(U, V). We show that this DGLA is formal, although it does not always satisfy to the d'd''-Lemma.
%U http://arxiv.org/abs/math/9802005v1