Deformations of representations of fundamental groups of open Kaehler manifolds
Abstract
Given a compact Kaehler manifold, we consider the complement U of a divisor with normal crossings. We study the variety of unitary representations of the fundamental group of U with certain restrictions related to the divisor. We show that the possible singularities of this variety as well as of the corresponding moduli space of irreducible representations are quadratic. In the course of our proof we exhibit a differential graded Lie algebra of which reflects our deformation problem.
 Publication:

eprint arXiv:dgga/9709013
 Pub Date:
 September 1997
 DOI:
 10.48550/arXiv.dgga/9709013
 arXiv:
 arXiv:dgga/9709013
 Bibcode:
 1997dg.ga.....9013F
 Keywords:

 Mathematics  Differential Geometry;
 Mathematics  Algebraic Geometry
 EPrint:
 Corrected version, LaTeX, 18p