Toledo invariant of lattices in SU(2,1) via symmetric square
Artikel i vetenskaplig tidskrift, 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

Författare

Inkang Kim

Korea Institute for Advanced Study

Genkai Zhang

Chalmers, Matematiska vetenskaper, Analys och sannolikhetsteori

Journal of Mathematical Physics

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

Vol. 61 11 111702

Fundament

Grundläggande vetenskaper

Ämneskategorier

Geometri

Diskret matematik

Matematisk analys

DOI

10.1063/5.0004575

Mer information

Senast uppdaterat

2020-11-24