A deformation theorem for Poincaré duality pairs in dimension 3

2020/06/28 by Lawrence Reeves, Peter Scott, Reeves, Lawrence +3
Mathematics · Physics and Astronomy · #20E08 #20E34 Primary) #57K30 (Secondary) #Advanced Differential Equations and Dynamical Systems #Advanced Differential Geometry Research #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.2006.15684

openalex publication_date 2020/06/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove the analogue of Johannson's Deformation Theorem for PD3 pairs.

Citations

• Canonical decompositions for Poincaré duality pairs

Related

• Poincare duality in dimension 3
• Poincare Duality Pairs in Dimension Three
• An example on deformation of a pair
• Realisation and Splitting for Poincaré Duality Pairs in Dimension Three
• Canonical decompositions for Poincaré duality pairs