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Semisimplicity and Rigidity of the Kontsevich--Zorich Cocycle for Products of Strata
We study the Kontsevich--Zorich cocycle, its fixed tensor constructions, and their finite direct sums over products of strata of Abelian differentials. The acting groups are closed subgroups $G\subset(\mathrm{SL}_2\mathbb R)^n$ that, up to factor permutations and coordinatewise conjugation by rotati
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