Stable commutator length on big mapping class groups. Issue 6 (21st July 2022)

• Record Type: Journal Article
• Authors: Field, Elizabeth; Patel, Priyam; Rasmussen, Alexander J.
• Is Part Of: Bulletin of the London Mathematical Society. Volume 54:Issue 6(2022)
• Page Start: 2492
• Page End: 2512
• Publication Date: 2022-07-21
• Subjects: Mathematics -- Periodicals; 510
• DOI: 10.1112/blms.12707
• Languages: English
• ISSNs: 0024-6093

Abstract

Abstract: We study stable commutator length on mapping class groups of certain infinite‐type surfaces. In particular, we show that stable commutator length defines a continuous function on the commutator subgroups of such infinite‐type mapping class groups. We furthermore show that the commutator subgroups are open and closed subgroups and that the abelianizations are finitely generated in many cases. Our results apply to many popular infinite‐type surfaces with locally coarsely bounded mapping class groups.