Eigenvalues of Products of Unitary Matrices and Lagrangian Involutions
  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. 
Elisha Falbel and Richard A. Wentworth