2007/05/25 by Jesse Johnson, Johnson, Jesse
Mathematics · #57M #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:57M
paper · pdf · doi:10.48550/arxiv.0705.3712
24 pages, 10 figures
arxiv created 2007/05/25 · arxiv updated 2009/12/01
We present a new proof of Reidemeister and Singer's Theorem that any two Heegaard splittings of the same 3-manifold have a common stabilization. The proof leads to an upper bound on the minimal genus of a common stabilization in terms of the number of negative slope inflection points and type-two cusps in a Rubinstein-Scharlemann graphic for the two splittings.