Cataclysms for Anosov representations
نویسندگان
چکیده
In this paper, we construct cataclysm deformations for $\theta$-Anosov representations into a semisimple non-compact connected real Lie group $G$ with finite center, where $\theta \subset \Delta$ is subset of the simple roots that invariant under opposition involution. These generalize Thurston's cataclysms on Teichm\"uller space and Dreyer's Borel-Anosov $\mathrm{PSL}(n, \mathbb{R})$. We express deformation also in terms boundary map. Furthermore, show are additive behave well respect to composing representation homomorphism. Finally, injective Hitchin representations, but not general representations.
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ژورنال
عنوان ژورنال: Geometriae Dedicata
سال: 2022
ISSN: ['0046-5755', '1572-9168']
DOI: https://doi.org/10.1007/s10711-022-00721-7