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Eigenvalues of products of unitary matrices and Lagrangian involutions |
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| Authors: | Elisha Falbel |
| Affiliation: | a Institut de Mathématiques, Université Pierre et Marie Curie, Case 82, 4, Place Jussieu, F-75252 Paris, France b Department of Mathematics, John Hopkins University, Baltimore, MD 21218, USA |
| Abstract: | 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. |
| Keywords: | Unitary representations Parabolic bundles Lagrangian involutions |
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