Exceptional Discrete Mapping Class Group Orbits in Moduli Spaces
| dc.creator | Previte, Joseph P. | |
| dc.creator | Xia, Eugene Z. | |
| dc.date | 2001-08-13 | |
| dc.date.accessioned | 2026-07-07T04:42:58Z | |
| dc.date.available | 2026-07-07T04:42:58Z | |
| dc.description | Let $M$ be a four-holed sphere and $Γ$ the mapping class group of $M$ fixing $\partial M$. The group $Γ$ acts on the space ${\mathcal M}_{\mathcal B}(SU(2))$ of SU(2)-gauge equivalence classes of flat SU(2)-connections on $M$ with fixed holonomy on $\partial M$. We give examples of flat SU(2)-connections whose holonomy groups are dense in SU(2), but whose $Γ$-orbits are discrete in ${\mathcal M}_{\mathcal B}(SU(2))$. This phenomenon does not occur for surfaces with genus greater than zero. | |
| dc.description | 7 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/math/0108092 | |
| dc.identifier | http://arxiv.org/abs/math/0108092 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62012 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 54H20; 57M05 | |
| dc.title | Exceptional Discrete Mapping Class Group Orbits in Moduli Spaces | |
| dc.type | text |