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...
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| Hauptverfasser: | , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
September 2024
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| In: |
Journal of topology
Year: 2024, Jahrgang: 17, Heft: 3, Pages: 1-46 |
| ISSN: | 1753-8424 |
| DOI: | 10.1112/topo.12352 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1112/topo.12352 Verlag, lizenzpflichtig, Volltext: https://onlinelibrary.wiley.com/doi/abs/10.1112/topo.12352 
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| Verfasserangaben: | Jonas Beyrer, Beatrice Pozzetti |
MARC
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| 520 | |a 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. | ||
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