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