Saturated orbit closures in the Hodge bundle

Karl Winsor

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arXiv · 2210.08795

Saturated orbit closures in the Hodge bundle

Karl Winsor

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Abstract

We give a new proof of the classification of ${\rm GL}^+(2,\mathbb{R})$-orbit closures that are saturated for the absolute period foliation of the Hodge bundle. As a consequence, we obtain a short proof of the classification of closures of leaves of the absolute period foliation of the Hodge bundle. Our approach is based on a method for classifying ${\rm GL}^+(2,\mathbb{R})$-orbit closures using deformations of flat pairs of pants.

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Karl Winsor. 2022-10-17. Saturated orbit closures in the Hodge bundle. https://arxiv.org/abs/2210.08795

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