2006/08/16 by Martin Scharlemann, Scharlemann, Martin, Maggy Tomova +1
Computer Science · Mathematics · #57M25 #57M27 #Computational Geometry and Mesh Generation #FOS: Mathematics #Finite Group Theory Research #Geometric Topology (math.GT) #Geometric and Algebraic Topology #math.GT #msc:57M25 #msc:57M27
paper · pdf · doi:10.48550/arxiv.math/0608435
29 pages, 19 figures
arxiv created 2006/08/16 · openalex publication_date 2006/08/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Suppose a link K in a 3-manifold M is in bridge position with respect to two different bridge surfaces P and Q, both of which are c-weakly incompressible in the complement of K. Then either P and Q can be properly isotoped to intersect in a nonempty collection of curves that are essential (including non-meridional) on both surfaces, or K is a Conway product with respect to an incompressible Conway sphere that naturally decomposes both P and Q into bridge surfaces for the respective factor link(s).