Fuchsian subgroups of lattices acting on hermitian symmetric spaces

Details Fuchsian subgroups of lattices acting on hermitian symmetric spaces Fuchsian subgroups of lattices acting on hermitian symmetric spaces

2011-05-05

arxiv.org/abs/1105.1154v2

Mathematics

Geometric Topology

Scientific paper

We thank Michael Kapovich for pointing out that Section 3 of the preprint of this title posted on May 5, 2011 contains an error, where we state that certain self-intersections are trivial. As a result, the proofs given for the main results (Theorems 1.1, 1.2 and 1.3) in that preprint are not correct. As in the May 5 preprint, let G be either the group SL_2(R) x SL_2(R) or the group SU(2,1). Suppose Gamma is an irreducible co-compact arithmetic lattice in G and that Gamma contains a Fuchsian subgroup Sigma. In a later version of this preprint, we will study sufficient criteria for particular sets of Fuchsian subgroups of Gamma to generate a subgroup of finite index.

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