A criterion for the simplicity of the Lyapunov spectrum of square-tiled surfaces

Carlos Matheus, Martin Moeller, Jean-Christophe Yoccoz

We present a Galois-theoretical criterion for the simplicity of the Lyapunov spectrum of the Kontsevich-Zorich cocycle over the Teichmueller flow on the $S{L}_2(R)$-orbit of a square…