Upper bounds for the complexity of torus knot complements

2013/02/15 by Fominykh, Evgeny, Wiest, Bert
#57M25 (Primary) 57M20 #57M27 #57M50 (Secondary) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1302.3863

Abstract

We establish upper bounds for the complexity of Seifert fibered manifolds with nonempty boundary. In particular, we obtain potentially sharp bounds on the complexity of torus knot complements.

Related

• Higher topological complexity of Seifert fibered manifolds
• Minimal triangulation size of Seifert fibered spaces with boundary
• On the complexity of non-orientable Seifert fibre spaces
• 3-Manifolds with complexity at most 9
• Translation distance bounds for fibered 3-manifolds with boundary