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

Inkang Kim; Genkai Zhang

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arXiv · 1410.2089

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

Inkang Kim·Genkai Zhang

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Abstract

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

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BibTeX RIS

Inkang Kim, Genkai Zhang. 2014-10-08. Toledo invariant of lattices in SU(2,1) via symmetric square. https://arxiv.org/abs/1410.2089

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