Comparing decompositions of Poincar\'e duality pairs
Group Theory
2020-07-07 v2 Geometric Topology
Abstract
Analogues of JSJ decompositions were developed for Poincar\'e duality pairs in [19]. These decompositions depend only on the group. Our focus will be on describing the edge splittings of these decompositions more precisely. We use our results to compare these decompositions with two other closely related decompositions.
Cite
@article{arxiv.2003.00311,
title = {Comparing decompositions of Poincar\'e duality pairs},
author = {Lawrence Reeves and Peter Scott and Gadde Swarup},
journal= {arXiv preprint arXiv:2003.00311},
year = {2020}
}
Comments
v1: 50 pages, 5 figures. v2: 50 pages, 5 figures. Several minor corrections and improvements to the exposition