English

The word problem for the mapping class group in quasi-linear time

Geometric Topology 2025-11-05 v1 Group Theory

Abstract

We give an O(nlog3(n))O(n \log^3(n))-time algorithm for the word problem in the mapping class group of a compact surface.

Keywords

Cite

@article{arxiv.2511.02459,
  title  = {The word problem for the mapping class group in quasi-linear time},
  author = {Mark C. Bell and Saul Schleimer},
  journal= {arXiv preprint arXiv:2511.02459},
  year   = {2025}
}

Comments

37 pages, 72 figures and subfigures, 4 algorithms, 4 appendices -- v1

R2 v1 2026-07-01T07:20:59.502Z