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TITLE Toledo invariant of lattices in SU(2,1) via symmetric square
KIAS AUTHORS Kim, Inkang
JOURNAL JOURNAL OF MATHEMATICAL PHYSICS, 2020
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ABSTRACT 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).
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