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

DOI10.1063/5.0004575zbMath1476.22003arXiv1410.2089OpenAlexW3097604920MaRDI QIDQ5141123

Inkang Kim, Genkai Zhang

Publication date: 17 December 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.2089

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Discrete subgroups of Lie groups (22E40) Differential geometry of symmetric spaces (53C35) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Invariants of 3-manifolds (including skein modules, character varieties) (57K31) Character varieties (14M35)

Cites Work

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• Maximal representations of complex hyperbolic lattices into \(\mathrm{SU}(m,n)\)
• A Milnor-Wood inequality for complex hyperbolic lattices in quaternionic space
• Local rigidity for complex hyperbolic lattices and Hodge theory
• A measurable Cartan theorem and applications to deformation rigidity in complex hyperbolic geometry
• Representations of complex hyperbolic lattices into rank 2 classical Lie groups of Hermitian type
• Local rigidity in quaternionic hyperbolic space
• Representations of surface groups in complex hyperbolic space
• Quaternionic Kaehler manifolds
• Maps between complex hyperbolic surfaces
• The moduli of flat PU(2,1) structures on Riemann surfaces
• Surface group representations and \(U(p,q)\)-Higgs bundles.
• Monodromy of hypergeometric functions and non-lattice integral monodromy
• Einstein manifolds
• Local quaternionic rigidity for complex hyperbolic lattices
• Maximal Representations of Surface Groups in Bounded Symmetric Domains
• Complex hyperbolic manifolds homotopy equivalent to a Riemann surface