The Kontsevich--Zorich cocycle over Veech--McMullen family of symmetric translation surfaces
classification
🧮 math.DS
keywords
kontsevich--zorichcocyclecoveringaffineappropriatecasescomingconstruction
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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 recent 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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