Eigenvalues of Products of Unitary Matrices and Lagrangian Involutions

Elisha Falbel; Richard A. Wentworth

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Eigenvalues of Products of Unitary Matrices and Lagrangian Involutions

Elisha Falbel·Richard A. Wentworth

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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.

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BibTeX RIS

Elisha Falbel, Richard A. Wentworth. 2005-06-06. Eigenvalues of Products of Unitary Matrices and Lagrangian Involutions. https://arxiv.org/abs/math/0506100

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