Toledo invariant of lattices in SU(2,1) via symmetric square
Journal article, 2020

In this paper, we address the issue of the quaternionic Toledo invariant to study the character variety of two-dimensional complex hyperbolic uniform lattices into SU(n, 2), n ≥ 4. We construct four distinct representations to prove that the character variety contains at least seven distinct components. We also show the existence of holomorphic horizontal lift to various period domains of SU(n, 2).

Torsion free sheaf

Moduli space

Higgs bundles


Inkang Kim

Korea Institute for Advanced Study

Genkai Zhang

Chalmers, Mathematical Sciences, Analysis and Probability Theory

Journal of Mathematical Physics

0022-2488 (ISSN) 1089-7658 (eISSN)

Vol. 61 11 111702


Basic sciences

Subject Categories


Discrete Mathematics

Mathematical Analysis



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