Dual 2-complexes in 4-manifolds

Details Dual 2-complexes in 4-manifolds Dual 2-complexes in 4-manifolds

2000-09-27

arxiv.org/abs/math/0009234v1

Mathematics

Geometric Topology

19 pages, AMSTeX soruce file

Scientific paper

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 ($H_1K\simeq H^2L$ and $H_2K\simeq H^1L$).

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