AbstractWe give correspondences between: 1. deformation of 3-Calabi-Yau categories; 2. partialcompactification with orbifolding of moduli spaces and 3. taking sub-guotient of mapping classgroups
AbstractIn the late 1980s, Nigel Hitchin and Michael Wolf independently discovered a parametrization of the Teichmüller space of a compact surface by holomorphic quadratic differentials. In this talk, I will describe a generalization of their result where one replaces holomorphic differentials by meromorphic differentials. I will explain how this fits into an even more general story involving s...