Moduli of flat bundles on open Kaehler manifolds
alg-geom
2008-02-03 v2 dg-ga
Algebraic Geometry
Differential Geometry
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.
Keywords
Cite
@article{arxiv.alg-geom/9703011,
title = {Moduli of flat bundles on open Kaehler manifolds},
author = {Jean-Luc Brylinski and Philip Foth},
journal= {arXiv preprint arXiv:alg-geom/9703011},
year = {2008}
}
Comments
LaTeX 21p, revised