3 papers
math.GT2026
Positive representations over real closed fields
Xenia Flamm, Nicolas Tholozan, Tianqi Wang +1
We develop the theory of -positive representations from general Fuchsian groups to linear groups over real closed fields. Our definition, which does not assume the boundary map…
math.GT2026
Holmes-Thompson area of inscribed polygons and convex projective structures
Xenia Flamm, Giuseppe Martone
Positive tuples of complete flags in define two convex polygons in , one inscribed in the other. We are interested in relating the Holmes-Thompson are…
math.GT2025
Real spectrum compactification of Hitchin components, Weyl chamber valued lengths, and dual spaces
Xenia Flamm
The main result of this article is that Hitchin representations over real closed field extensions of correspond precisely to those representations of the…