Abstract
Certain representation spaces have been investigated by algebraic geometers as moduli spaces of holomorphic bundles over a Riemann surface. Such moduli spaces exhibit symplectic and Kähler structures as well as gauge theory interpretations. The purpose of this article is to elucidate the local structure of such a space, and the focus will be on the singularities. Among the tools will be the interconnection between the theory of algebraic and symplectic quotients and, furthermore, Poisson structures, a concept which has been known in mathematical physics for long and is currently of much interest in mathematics as well.
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Huebschmann, J. (2001). Singularities and Poisson geometry of certain representation spaces. In: Landsman, N.P., Pflaum, M., Schlichenmaier, M. (eds) Quantization of Singular Symplectic Quotients. Progress in Mathematics, vol 198. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8364-1_6
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DOI: https://doi.org/10.1007/978-3-0348-8364-1_6
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