Generalizations of Schottky groups
| dc.contributor.advisor | Goldman, William M | en_US |
| dc.contributor.author | Burelle, Jean-Philippe | en_US |
| dc.contributor.department | Mathematics | en_US |
| dc.contributor.publisher | Digital Repository at the University of Maryland | en_US |
| dc.contributor.publisher | University of Maryland (College Park, Md.) | en_US |
| dc.date.accessioned | 2017-09-14T05:31:11Z | |
| dc.date.available | 2017-09-14T05:31:11Z | |
| dc.date.issued | 2017 | en_US |
| dc.description.abstract | Schottky groups are classical examples of free groups acting properly discontinuously on the complex projective line. We discuss two different applications of similar constructions. The first gives examples of 3-dimensional Lorentzian Kleinian groups which act properly discontinuously on an open dense subset of the Einstein universe. The second gives a large class of examples of free subgroups of automorphisms groups of partially cyclically ordered spaces. We show that for a certain cyclic order on the Shilov boundary of a Hermitian symmetric space, this construction corresponds exactly to representations of fundamental groups of surfaces with boundary which have maximal Toledo invariant. | en_US |
| dc.identifier | https://doi.org/10.13016/M2CC0TT6F | |
| dc.identifier.uri | http://hdl.handle.net/1903/19851 | |
| dc.language.iso | en | en_US |
| dc.subject.pqcontrolled | Mathematics | en_US |
| dc.subject.pqcontrolled | Theoretical mathematics | en_US |
| dc.subject.pquncontrolled | Geometric structures | en_US |
| dc.subject.pquncontrolled | Higher Teichmueller theory | en_US |
| dc.subject.pquncontrolled | maximal representations | en_US |
| dc.subject.pquncontrolled | Schottky groups | en_US |
| dc.title | Generalizations of Schottky groups | en_US |
| dc.type | Dissertation | en_US |
Files
Original bundle
1 - 1 of 1
Loading...
- Name:
- Burelle_umd_0117E_18102.pdf
- Size:
- 1.16 MB
- Format:
- Adobe Portable Document Format