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    Character varieties and harmonic maps to R-trees

    Daskalopoulos, G.
    Dostoglou, S. (Stamatis A.)
    Wentworth, R.
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    [PDF] CharacterVarietiesHarmonicMaps.pdf (161.2Kb)
    Date
    1998
    Format
    Article
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    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
    Part of
    Mathematics publications (MU)
    Citation
    arXiv:math/9810033v1
    Rights
    OpenAccess.
    This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License.
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    • Mathematics publications (MU)

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