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A corollary to Bernstein's theorem and Whittaker functionals on the metaplectic group
(1998)
In this paper, we extend and apply a remarkable theorem due to Bernstein, which
was proved in a letter to Piatetski-Shapiro in the fall of 1985 [3]. The theorem is quite useful for establishing analytic continuation and ...
On the Morgan-Shalen compactification of the SL(2,C) character varieties of surface groups
(1998)
A gauge theoretic description of the Morgan-Shalen compactification of the SL(2, C)
character variety of the fundamental group of a hyperbolic surface is given in terms of a natural compactification of the moduli space ...
Character varieties and harmonic maps to R-trees
(1998)
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 ...