Falbel, Elisha; Wentworth, Richard A. Eigenvalues of products of unitary matrices and Lagrangian involutions. (English) Zbl 1081.58006 Topology 45, No. 1, 65-99 (2006). Summary: This paper introduces a submanifold of the moduli space of unitary representations of the fundamental group of a punctured sphere with fixed local monodromy. The submanifold is defined via products of involutions through Lagrangian subspaces. We show that the moduli space of Lagrangian representations is a Lagrangian submanifold of the moduli of unitary representations. Cited in 4 Documents MSC: 58D19 Group actions and symmetry properties 53D12 Lagrangian submanifolds; Maslov index 58D27 Moduli problems for differential geometric structures Keywords:Unitary representations; Parabolic bundles; Lagrangian involutions PDFBibTeX XMLCite \textit{E. Falbel} and \textit{R. A. Wentworth}, Topology 45, No. 1, 65--99 (2006; Zbl 1081.58006) Full Text: DOI arXiv