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

Chapter Author(s) 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.