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arxiv: 1402.6667 · v2 · pith:EWMOPC34new · submitted 2014-02-26 · 🧮 math.DS

The relative cohomology of abelian covers of the flat pillowcase

classification 🧮 math.DS
keywords abeliancohomologycoversflatpillowcaserelativeactionaffine
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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.

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