Classification of pro-$p$ PD$^2$ pairs and the pro-$p$ curve complex
Group Theory
2018-06-21 v2 Geometric Topology
Abstract
We classify pro- Poincar\'e duality pairs in dimension two. We then use this classification to build a pro- analogue of the curve complex and establish its basic properties. We conclude with some statements concerning separability properties of the mapping class group.
Cite
@article{arxiv.1711.02953,
title = {Classification of pro-$p$ PD$^2$ pairs and the pro-$p$ curve complex},
author = {Gareth Wilkes},
journal= {arXiv preprint arXiv:1711.02953},
year = {2018}
}
Comments
27 pages. Updated with some minor corrections; Section 5 added