Degenerations of k-positive surface group representations
We introduce \emph{k-positive representations}, a large class of $\{1,\ldots,k\}$--Anosov surface group representations into 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,...
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| Main Authors: | , |
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| Format: | Article (Journal) Chapter/Article |
| Language: | English |
| Published: |
10 Jun 2021
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| In: |
Arxiv
Year: 2021, Pages: 1-39 |
| DOI: | 10.48550/arXiv.2106.05983 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.48550/arXiv.2106.05983 Verlag, lizenzpflichtig, Volltext: http://arxiv.org/abs/2106.05983 
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| Author Notes: | Jonas Beyrer and Beatrice Pozzetti |
| Summary: | We introduce \emph{k-positive representations}, a large class of $\{1,\ldots,k\}$--Anosov surface group representations into 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)-positive and irreducible limits are (k-1)-positive. A major ingredient, of independent interest, is a general limit theorem for positively ratioed representations. |
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| Item Description: | Gesehen am 23.09.2022 |
| Physical Description: | Online Resource |
| DOI: | 10.48550/arXiv.2106.05983 |