Raphael Appenzeller

works on

3-manifolds 1 genus-zero links 1 knot theory 1 linking numbers 1 link theory 1

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math.GR2026

Semisimple algebraic groups over real closed fields

Raphael Appenzeller

We give a self-contained introduction to linear algebraic and semialgebraic groups over real closed fields, and we generalize several key results about semisimple Lie groups to alg…

math.GR2026

Generalized affine buildings for semisimple algebraic groups over real closed fields

Raphael Appenzeller

We use real algebraic geometry to construct an affine $I^$ -building $B$ associated to the $F$ -points of a semisimple algebraic group, where $F$ is a valued real c…

math.GR2025

Cops and robbers for hyperbolic and virtually free groups

Raphael Appenzeller, Kevin Klinge

Lee, MartÃnez-Pedroza and RodrÃguez-Quinche define two new group invariants, the strong cop number $sCop$ and the weak cop number $wCop$ , by examini…

math.GR2024

Semialgebraic groups and generalized affine buildings

Raphael Appenzeller

We develop the theory of algebraic groups over real closed fields and apply the results to construct a geometric object $B$ and to prove that $B$ is an affine $…