English

Algorithms in 3-manifold theory

Geometric Topology 2020-02-07 v1

Abstract

This survey focuses on the computational complexity of some of the fundamental decision problems in 3-manifold theory. The article discusses the wide variety of tools that are used to tackle these problems, including normal and almost surfaces, hierarchies, homomorphisms to finite groups, and hyperbolic structures.

Keywords

Cite

@article{arxiv.2002.02179,
  title  = {Algorithms in 3-manifold theory},
  author = {Marc Lackenby},
  journal= {arXiv preprint arXiv:2002.02179},
  year   = {2020}
}

Comments

44 pages, 9 figures

R2 v1 2026-06-23T13:32:51.140Z