Residual generic ergodicity of periodic group extensions over translation surfaces.

Continuing the work in Ralston and Troubetzkoy (J Mod Dyn 6:477-497, 2012), we show that within each stratum of translation surfaces, there is a residual set of surfaces for which the geodesic flow in almost every direction is ergodic for almost-every periodic group extension produced using a technique referred to as cuts. [ABSTRACT FROM AUTHOR]