Decomposable representations and Lagrangian submanifolds of moduli spaces associated to surface groups
| dc.creator | Schaffhauser, Florent | |
| dc.date | 2007-03-29 | |
| dc.date | 2008-06-16 | |
| dc.date.accessioned | 2026-07-07T10:04:44Z | |
| dc.date.available | 2026-07-07T10:04:44Z | |
| dc.description | 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. | |
| dc.identifier | https://arxiv.org/abs/math/0703869 | |
| dc.identifier | http://arxiv.org/abs/math/0703869 | |
| dc.identifier | Math. Ann. 342 (2008), no. 2, 405--447. | |
| dc.identifier | doi:10.1007/s00208-008-0241-4 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/169787 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 53D20, 53D30 | |
| dc.title | Decomposable representations and Lagrangian submanifolds of moduli spaces associated to surface groups | |
| dc.type | text |