Eigenvalues of Products of Unitary Matrices and Lagrangian Involutions

Details Eigenvalues of Products of Unitary Matrices and Lagrangian Involutions Eigenvalues of Products of Unitary Matrices and Lagrangian Involutions

2005-06-06

arxiv.org/abs/math/0506100v1

Mathematics

Geometric Topology

35 pages, 2 figures, to appear in Topology

Scientific paper

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.

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