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arXiv · 1710.11323

The Kontsevich--Zorich cocycle over Veech--McMullen family of symmetric translation surfaces

Artur Avila·Carlos Matheus·Jean-Christophe Yoccoz
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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 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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Artur Avila, Carlos Matheus, Jean-Christophe Yoccoz. 2017-10-31. The Kontsevich--Zorich cocycle over Veech--McMullen family of symmetric translation surfaces. https://arxiv.org/abs/1710.11323

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