English

Quantum invariants can provide sharp Heegaard genus bounds

Geometric Topology 2008-01-16 v2

Abstract

Using Seifert fibered three-manifold examples of Boileau and Zieschang, we demonstrate that the Reshetikhin-Turaev quantum invariants may be used to provide a sharp lower bound on the Heegaard genus which is strictly larger than the rank of the fundamental group.

Keywords

Cite

@article{arxiv.0801.0738,
  title  = {Quantum invariants can provide sharp Heegaard genus bounds},
  author = {Helen Wong},
  journal= {arXiv preprint arXiv:0801.0738},
  year   = {2008}
}

Comments

8 pages

R2 v1 2026-06-21T09:59:42.515Z