On stable commutator length of non-filling curves in surfaces
Geometric Topology
2025-06-11 v2 Group Theory
Abstract
We give a new proof of rationality of stable commutator length (scl) of certain elements in surface groups: those represented by curves that do not fill the surface. Such elements always admit extremal surfaces for scl. These results also hold more generally for non-filling 1-chains.
Cite
@article{arxiv.2212.14086,
title = {On stable commutator length of non-filling curves in surfaces},
author = {Max Forester and Justin Malestein},
journal= {arXiv preprint arXiv:2212.14086},
year = {2025}
}
Comments
17 pages; three figures have been added, along with some minor edits