Character varieties and harmonic maps to R-trees
| dc.creator | Daskalopoulos, Georgios | |
| dc.creator | Dostoglou, Stamatis | |
| dc.creator | Wentworth, Richard | |
| dc.date | 1998-10-06 | |
| dc.date.accessioned | 2026-07-07T05:26:19Z | |
| dc.date.available | 2026-07-07T05:26:19Z | |
| dc.description | We show that the Korevaar-Schoen limit of the sequence of equivariant harmonic maps corresponding to a sequence of irreducible $SL_2({\mathbb C})$ representations of the fundamental group of a compact Riemannian manifold is an equivariant harmonic map to an ${\mathbb R}$-tree which is minimal and whose length function is projectively equivalent to the Morgan-Shalen limit of the sequence of representations. We then examine the implications of the existence of a harmonic map when the action on the tree fixes an end. | |
| dc.description | 12 pages. Latex. to appear in Math. Res. Lett | |
| dc.identifier | https://arxiv.org/abs/math/9810033 | |
| dc.identifier | http://arxiv.org/abs/math/9810033 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77509 | |
| dc.subject | Differential Geometry | |
| dc.subject | Geometric Topology | |
| dc.title | Character varieties and harmonic maps to R-trees | |
| dc.type | text |