Quantum invariants can provide sharp Heegaard genus bounds

Details Quantum invariants can provide sharp Heegaard genus bounds Quantum invariants can provide sharp Heegaard genus bounds

2008-01-05

arxiv.org/abs/0801.0738v2

Mathematics

Geometric Topology

8 pages

Scientific paper

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.

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