English

A presentation for the baseleaf preserving mapping class group of the punctured solenoid

Dynamical Systems 2014-10-01 v1 Geometric Topology

Abstract

We give a presentation for the baseleaf preserving mapping class group Mod(§)Mod(\S) of the punctured solenoid §\S. The generators for our presentation were introduced previously, and several relations among them were derived. In addition, we show that Mod(§)Mod(\S) has no non-trivial central elements. Our main tool is a new complex of triangulations of the disk upon which Mod(§)Mod(\S) acts.

Keywords

Cite

@article{arxiv.math/0608066,
  title  = {A presentation for the baseleaf preserving mapping class group of the punctured solenoid},
  author = {S. Bonnot and R. C. Penner and D. Saric},
  journal= {arXiv preprint arXiv:math/0608066},
  year   = {2014}
}

Comments

14 pages, 1 figure