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0111 · Nov 202419922001200920172026
2 results for “PSL2R”
Totally elliptic surface group representationsmath.RT

Characterizes totally elliptic surface group representations into Lie groups.

problem Understanding totally elliptic surface group representations into Lie groups.
method Characterization of representations into PSL2R\mathrm{PSL}_2\mathbb{R} and PSL2C\mathrm{PSL}_2\mathbb{C} by their mapping properties.
result They are either into a compact subgroup or Deroin--Tholozan representations.
surface group representationstotally ellipticLie groupsPSL2RPSL2C
2024-11-29abs ↗pdf ↗
Limit cones of multi-Fuchsian representationsmath.GT

The study of limit cones for multi-Fuchsian representations in (PSL2R)d(\mathrm{PSL}_2\mathbf{R})^d.

problem Characterizing the structure of limit cones for multi-Fuchsian representations.
method Analysis of normalized multi-lengths and convex cones in R≥0d\mathbf{R}^d_{\geq 0}.
result Different regimes of limit cones exist, with some having finite sides and others dense extremal rays.
limit conesmulti-Fuchsian representationsconvex conessurface groupsfree groups
2025-12-04abs ↗pdf ↗