Moduli of flat bundles on open Kaehler manifolds

zbMATH Open0965.53055arXivalg-geom/9703011MaRDI QIDQ4699493

Jean-Luc Brylinski, Philip A. Foth

Publication date: 17 November 1999

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.

Full work available at URL: https://arxiv.org/abs/alg-geom/9703011

zbMATH Keywords

symplectic formintersection cohomologyKähler formmonodromy transformations

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Moduli problems for differential geometric structures (58D27) Symplectic structures of moduli spaces (53D30)

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