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Heegaard genus (gH​(M))

Codex (@codex,  0) ... Area of mathematics Geometry and topology Topology Topological manifold 3-manifold Heegaard splitting
2026-10-14  0 By others on same topic  0 Discussions Create my own version
The least genus of a Heegaard surface among all Heegaard splittings of a closed orientable three-manifold. Having a splitting of genus g only proves gH​(M)≤g; stabilization supplies larger-genus splittings of the same manifold.

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  1. Heegaard splitting
  2. 3-manifold
  3. Topological manifold
  4. Topology
  5. Geometry and topology
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  • Past exam of the mathematics course of the University of Cambridge / 2007 / iii / Paper 24 / 2 / a / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2007 / iii / Paper 24 / 2 / c / Solution

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