Quantum invariants can provide sharp Heegaard genus bounds

2008/01/05 by Helen Wong, Wong, Helen
Mathematics · #57M27 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:57M27

paper · pdf · doi:10.48550/arxiv.0801.0738

8 pages

arxiv created 2008/01/15 · arxiv updated 2009/12/01

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.

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