Basmajian's identity in higher Teichmüller–Thurston theory
Basmajian's identity in higher Teichmüller–Thurston theory
We prove an extension of Basmajian's identity to $n$-Hitchin representations of compact bordered surfaces. For $n=3$, we show that this identity has a geometric interpretation for convex real projective structures analogous to Basmajian's original result. As part of our proof, we demonstrate that, with respect to the Lebesgue measure on …