Non-maximal Anosov Representations from Surface Groups to $\mathrm{SO}_0(2,3)$

Preprinted in arxiv:2406.08118, 2024

We prove the representation given by a stable $\alpha_1$-cyclic parabolic $\mathrm{SO}_0(2,3)$-Higgs bundle through the non-Abelian Hodge correspondence is ${\alpha_2}$-almost dominated. This is a generalization of Filip’s result on weight $3$ variation of Hodge structures and answers a question asked by Collier, Tholozan and Toulisse.

Download paper here.