On the complexity of 2-bridge link complements
Abstract
We reprove a necessary condition for the Sakuma-Weeks triangulation of a 2-bridge link complement to be minimal in terms of the mapping class describing its alternating 4-string braid construction.For the 2-bridge links satisfying this condition we construct explicit angle structures on the Sakuma-Weeks triangulations and compute both multiplicative and additive lower bounds on the complexity of the link complements via volume estimates.These lower bounds are an improvement on existing volume estimates for the 2-bridge links examined.
Fields of Study & Subjects
graph theory and CDMA systems
Click Chemistry and Applications
Otitis Media and Relapsing Polychondritis
Publication details
- Journal / source
- Algebraic & Geometric Topology
- Volume
- 26
- Issue
- 6
- Pages
- 2315–2352
- Publication date
- 22 June 2026
- Language
- EN