Scl in graphs of groups
Geometric Topology
2020-08-26 v2 Group Theory
Abstract
Let G be a group acting on a tree with cyclic edge and vertex stabilizers. Then stable commutator length (scl) is rational in G. Furthermore, scl varies predictably and converges to rational limits in so-called "surgery" families. This is a homological analog of the phenomenon of geometric convergence in hyperbolic Dehn surgery.
Cite
@article{arxiv.1904.08360,
title = {Scl in graphs of groups},
author = {Lvzhou Chen},
journal= {arXiv preprint arXiv:1904.08360},
year = {2020}
}
Comments
72 pages, 17 figures; v2, minor revision, corrected the proof of Lemma 6.22, accepted for publication at Inventiones mathematicae