Degenerations of k-positive surface group representations
We introduce k\k\-positive representations, a large class of 1,…,k\łbrace 1,łdots ,k\rbrace\-Anosov surface group representations into PGL(E)\mathsf PGL(E)\ that share many features with Hitchin representations, and we study their degenerations: unless they are Hitchin, they can be deformed to non-d...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article (Journal) |
| Language: | English |
| Published: |
September 2024
|
| In: |
Journal of topology
Year: 2024, Volume: 17, Issue: 3, Pages: 1-46 |
| ISSN: | 1753-8424 |
| DOI: | 10.1112/topo.12352 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1112/topo.12352 Verlag, lizenzpflichtig, Volltext: https://onlinelibrary.wiley.com/doi/abs/10.1112/topo.12352 
|
| Author Notes: | Jonas Beyrer, Beatrice Pozzetti |
| Summary: | We introduce k\k\-positive representations, a large class of 1,…,k\łbrace 1,łdots ,k\rbrace\-Anosov surface group representations into PGL(E)\mathsf PGL(E)\ that share many features with Hitchin representations, and we study their degenerations: unless they are Hitchin, they can be deformed to non-discrete representations, but any limit is at least (k−3)\(k-3)\-positive and irreducible limits are (k−1)\(k-1)\-positive. A major ingredient, of independent interest, is a general limit theorem for positively ratioed representations. |
|---|---|
| Item Description: | Erstveröffentlichung: 3. August 2024 Gesehen am 28.04.2024 |
| Physical Description: | Online Resource |
| ISSN: | 1753-8424 |
| DOI: | 10.1112/topo.12352 |