Upper bounds for the complexity of torus knot complements

TL;DR

This paper provides upper bounds on the complexity of Seifert fibered manifolds, specifically focusing on potentially sharp bounds for the complexity of torus knot complements.

Contribution

It introduces new upper bounds for the complexity of Seifert fibered manifolds and applies these results to torus knot complements.

Findings

Established upper bounds for Seifert fibered manifolds with boundary.

Derived potentially sharp bounds for torus knot complements.

Enhanced understanding of the complexity in 3-manifold topology.

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.