Character varieties and harmonic maps to R-trees

MOspace/Manakin Repository

Breadcrumbs Navigation

Character varieties and harmonic maps to R-trees

Please use this identifier to cite or link to this item: http://hdl.handle.net/10355/5484

[+] show full item record


Title: Character varieties and harmonic maps to R-trees
Author: Daskalopoulos, G.; Dostoglou, S. (Stamatis A.); Wentworth, R.
Keywords: differential geometry
geometric topology
Date: 1998-10-06
Citation: arXiv:math/9810033v1
Abstract: 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.
URI: http://hdl.handle.net/10355/5484

This item appears in the following Collection(s)

  • Mathematics publications (MU) [119]
    The items in this collection are the scholarly output of the faculty, staff, and students of the Department of Mathematics.

[+] show full item record