paper

On stable commutator length of non-filling curves in surfaces

arXiv:2212.14086 · doi:10.1017/prm.2023.121

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.

17 pages; three figures have been added, along with some minor edits

References in corpus (3)