Degenerations of representations and thin triangles

2020/03/19 by Daryl Cooper, Cooper, Daryl
Mathematics · #20E08 #57M07 #57M25 #57M50 #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR) #math.GR #math.GT #msc:20E08 #msc:57M07 #msc:57M25 #msc:57M50

paper · pdf · doi:10.48550/arxiv.2003.08894

arxiv created 2020/03/19 · arxiv updated 2020/03/20

Abstract

There is a compactification of the space of representations of a finitely generated group into the groups of isometries of all spaces with Δ-thin triangles. The ideal points are actions on \mathbb R-trees. It is a geometric reformulation and extension of the Culler-Morgan-Shalen theory concerning limits of representations into SL(2,\mathbb C) and more generally O(n, 1). This paper was written and circulated in the early 90's, but never published.

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