The Moduli of Flat PU(p,p)-Structures with Large Toledo Invariants
| dc.creator | Markman, Eyal | |
| dc.creator | Xia, Eugene Z. | |
| dc.date | 2000-09-22 | |
| dc.date | 2001-08-27 | |
| dc.date.accessioned | 2026-07-07T04:37:39Z | |
| dc.date.available | 2026-07-07T04:37:39Z | |
| dc.description | For a compact Riemann surface $X$ of genus $g > 1$, $\Hom(π_1(X), PU(p,q))/PU(p,q)$ is the moduli space of flat $PU(p,q)$-connections on $X$. There are two invariants, the Chern class $c$ and the Toledo invariant $τ$ associated with each element in the moduli. The Toledo invariant is bounded in the range $-2min(p,q)(g-1) \le τ\le 2min(p,q)(g-1)$. This paper shows that the component, associated with a fixed $τ> 2(max(p,q)-1)(g-1)$ (resp. $τ< -2(max(p,q)-1)(g-1)$) and a fixed Chern class $c$, is connected (The restriction on $τ$ implies $p=q$). | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/math/0009203 | |
| dc.identifier | http://arxiv.org/abs/math/0009203 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59983 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14D20; 14H60 | |
| dc.title | The Moduli of Flat PU(p,p)-Structures with Large Toledo Invariants | |
| dc.type | text |