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The Kontsevich--Zorich cocycle over Veech--McMullen family of symmetric translation surfaces
Published 31 Oct 2017 in math.DS | (1710.11323v2)
Abstract: We describe the Kontsevich--Zorich cocycle over an affine invariant orbifold coming from a (cyclic) covering construction inspired by works of Veech and McMullen. In particular, using the terminology in a paper of Filip, we show that all cases of Kontsevich--Zorich monodromies of $SU(p,q)$ type are realized by appropriate covering constructions.
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