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Moduli of flat bundles on open Kaehler manifolds

Jean-Luc Brylinski·Philip Foth
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Abstract

We consider the moduli space MN of flat unitary connections on an open Kaehler manifold U (complement of a divisor with normal crossings) with restrictions on their monodromy transformations. Using intersection and L2 cohomologies with degenerating coefficients we construct a natural symplectic form F on MN. When U is quasi-projective we prove that F is actually a Kaehler form.

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Jean-Luc Brylinski, Philip Foth. 1997-04-16. Moduli of flat bundles on open Kaehler manifolds. https://arxiv.org/abs/alg-geom/9703011

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