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

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

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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Veröffentlicht in:Groups, geometry and dynamics geometry and dynamics, 2020-10, Vol.14 (3), p.917-948
1. Verfasser: Wilkes, Gareth
Format: Artikel
Sprache:eng
Schlagworte:
Group theory and generalizations
Topological groups, Lie groups
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Zusammenfassung: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.
ISSN:1661-7207
1661-7215
DOI:10.4171/GGD/569