The real locus of an involution map on the moduli space of flat connections on a Riemann surface
| dc.creator | Ho, Nan-Kuo | |
| dc.date | 2003-12-23 | |
| dc.date | 2006-05-23 | |
| dc.date.accessioned | 2026-07-07T06:35:53Z | |
| dc.date.available | 2026-07-07T06:35:53Z | |
| dc.description | It is known that every nonorientable surface $Σ$ has an orientable double cover $\tildeΣ$. The covering map induces an involution on the moduli space $\tilde{\M}$ of gauge equivalence classes of flat $G$-connections on $\tildeΣ$. We identify the relation between the moduli space $\M$ and the fixed point set of the moduli space $\tilde{\M}$. In particular, $\M$ is isomorphic to the fixed point set of $\tilde{\M}$ if and only if the order of the center of $G$ is odd. One important application is that we give a way to construct a minimal Lagrangian submanifold of the moduli space $\tilde{\M}$. | |
| dc.description | 23 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/math/0312426 | |
| dc.identifier | http://arxiv.org/abs/math/0312426 | |
| dc.identifier | Intern. Math. Res. Notices, 61 (2004) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99931 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Differential Geometry | |
| dc.subject | 53D12 | |
| dc.title | The real locus of an involution map on the moduli space of flat connections on a Riemann surface | |
| dc.type | text |