The relative cohomology of abelian covers of the flat pillowcase
arXiv:1402.6667
Abstract
We calculate the action of the group of affine diffeomorphisms on the relative cohomology of square-tiled surfaces that are normal abelian covers of the flat pillowcase, and as an application, answer a question raised by Smillie and Weiss.
arXiv comment18 pages, 5 figures, with some typo corrected and comments added