arXiv Open Access 2021

Stable commutator length on big mapping class groups

Elizabeth Field Priyam Patel Alexander J. Rasmussen

Lihat Sumber

Abstrak

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.

Topik & Kata Kunci

math.GT math.GR

Penulis (3)

Elizabeth Field

Priyam Patel

Alexander J. Rasmussen

Format Sitasi

APA MLA BibTeX

Field, E., Patel, P., Rasmussen, A.J. (2021). Stable commutator length on big mapping class groups. https://arxiv.org/abs/2108.02123

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2021
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓