Kydonakis, Georgios (2021) From hyperbolic Dehn filling to surgeries in representation varieties. MPIM Preprint Series 2021 (17).
Preview |
Text
mpim-preprint_2021-17.pdf Download (1MB) | Preview |
Abstract
In this semi-expository article we describe a gluing method developed for constructing certain model objects in representation varieties $\text{Hom}(\pi_{1}(\Sigma),G)$ for a topological surface $\Sigma$ and a semisimple Lie group $G$. Explicit examples are demonstrated in the case of $\Theta$-positive representations lying in the $p\cdot(2g-2) -1$ many exceptional connected components of the $\text{SO} (p,p+1)$-character variety for $p>2$.
| Item Type: | MPIM Preprint |
|---|---|
| Subjects: | 3 Geometry and topology > 53-XX Differential geometry |
| Divisions: | Research > Preprints |
| Depositing User: | Andrea Kohlhuber |
| Date Deposited: | 18 May 2021 10:23 |
| Last Modified: | 18 May 2021 11:04 |
| URI: | https://archive.mpim-bonn.mpg.de/id/eprint/4547 |
Actions (login required)
 |
View Item |