Scl in graphs of groups

• 成果类型: Article
• 署名作者: Chen, Lvzhou
• 署名单位: University of Chicago
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-020-00951-0
• 发表日期: 2020
• 页码: 329-396
• 关键词: stable commutator length; surface subgroups; free-products

摘要

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.