Quantum invariants can provide sharp Heegaard genus bounds

Helen Wong
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. 1991 Mathematics Subject Classification. 57M27.
doi:10.18910/5079 fatcat:4gt24oogh5dtjfzcfkji27qw54