2000/09/27 by Frank Quinn, Quinn, Frank
Mathematics · #57M99 #57R65 #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Topology (math.GT) #math.AT #math.GT #msc:57M99 #msc:57R65
paper · pdf · doi:10.48550/arxiv.math/0009234
19 pages, AMSTeX soruce file
arxiv created 2000/09/27 · arxiv updated 2009/11/30
Concerns decompositions of smooth 4-manifolds as the union of two handlebodies, each with handles of index <=2 (``Heegard'' decompositions).Sample result: Two 2-complexes are (up to 2-deformation) dual spines of a Heegard decomposition of the 4-sphere if and only if they satisfy the conclusions of the Alexander-Lefshetz duality theorem (H1K≃ H2L and H2K≃ H1L).