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arXiv · 1711.02953

Classification of pro-$p$ PD$^2$ pairs and the pro-$p$ curve complex

Gareth Wilkes
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Abstract

We classify pro-$p$ Poincaré duality pairs in dimension two. We then use this classification to build a pro-$p$ analogue of the curve complex and establish its basic properties. We conclude with some statements concerning separability properties of the mapping class group.

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Gareth Wilkes. 2018-06-20. Classification of pro-$p$ PD$^2$ pairs and the pro-$p$ curve complex. https://arxiv.org/abs/1711.02953

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