Decomposable representations and Lagrangian submanifolds of moduli spaces associated to surface groups
Symplectic Geometry
2008-09-24 v3
Abstract
In this paper, we construct a Lagrangian submanifold of the moduli space associated to the fundamental group of a punctured Riemann surface (the space of representations of this fundamental group into a compact connected Lie group). This Lagrangian submanifold is obtained as the fixed-point set of an anti-symplectic involution defined on the moduli space. The notion of decomposable representation provides a geometric interpretation of this Lagrangian submanifold.
Keywords
Cite
@article{arxiv.math/0703869,
title = {Decomposable representations and Lagrangian submanifolds of moduli spaces associated to surface groups},
author = {Florent Schaffhauser},
journal= {arXiv preprint arXiv:math/0703869},
year = {2008}
}