Comparing decompositions of Poincar\'e duality pairs
Lawrence Reeves, Peter Scott, Gadde Swarup
TL;DR
This paper refines the understanding of JSJ-like decompositions for Poincaré duality pairs, focusing on their edge splittings and comparing them with related decompositions.
Contribution
It provides a detailed description of the edge splittings in these decompositions and compares them with two other related decomposition methods.
Findings
Detailed characterization of edge splittings
Comparison with two related decompositions
Enhanced understanding of group-based decompositions
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Geometric and Algebraic Topology · Advanced Algebra and Geometry