Mapping class actions on surface group completions

Penner, Robert C.

doi:10.2969/aspm/05210077

VOL. 52 | 2008 Mapping class actions on surface group completions

Robert C. Penner

Editor(s) Robert Penner, Dieter Kotschick, Takashi Tsuboi, Nariya Kawazumi, Teruaki Kitano, Yoshihiko Mitsumatsu

Adv. Stud. Pure Math., 2008: 77-92 (2008) DOI: 10.2969/aspm/05210077

Abstract

Recent projects on pronilpotent and profinite completions of surface groups are discussed, and common threads are then compared in the context of general group completions. In particular, a profinite version of the Torelli groups and a pronilpotent version of the punctured solenoid are introduced.