Thicken the planar graph underlying a knot diagram. Its boundary supports a Heegaard diagram with face disks on one side and crossing-tunnel disks on the other. The face generators and crossing curves give a Dehn presentation of a knot group.

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  1. Heegaard diagram
  2. Heegaard surface
  3. Heegaard splitting
  4. Three-manifold
  5. Topological manifold
  6. Topology
  7. Geometry and topology
  8. Area of mathematics
  9. Mathematics
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