English

Maximal and Borel Anosov representations in $Sp(4,\mathbb{R})$

Geometric Topology 2026-01-08 v2

Abstract

We prove that any Borel Anosov representations of a surface group into Sp(4,R)Sp(4,\mathbb{R}) that has maximal Toledo invariant must be Hitchin. We also prove that a representation of a surface group into Sp(2n,R)Sp(2n,\mathbb{R}) that is {n1,n}\{n-1,n\}-Anosov is maximal if and only if it satisfies the hyperconvexity property HnH_n.

Keywords

Cite

@article{arxiv.2201.05584,
  title  = {Maximal and Borel Anosov representations in $Sp(4,\mathbb{R})$},
  author = {Colin Davalo},
  journal= {arXiv preprint arXiv:2201.05584},
  year   = {2026}
}

Comments

18 pages, 3 figures : corrected typos, better introduction