We discuss a common framework for studying twists of Riemann surfaces coming from earthquakes, Teichmüller theory and Schiffer variations, and use it to analyze geodesics in the moduli space of isoperiodic 1-forms.
Cite this article
Curtis T. McMullen, Navigating moduli space with complex twists. J. Eur. Math. Soc. 15 (2013), no. 4, pp. 1223–1243DOI 10.4171/JEMS/390