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Pré-Publication, Document De Travail Année : 2019

A construction of representations of 3-manifold groups into PU(2,1) through Lefschetz fibrations

Résumé

We obtain infinitely many (non-conjugate) representations of 3-manifold fundamental groups into a lattice in the holomorphic isometry group of complex hyperbolic space. The lattice is an orbifold fundamental group of a branched covering of the projective plane along an arrangement of hyperplanes constructed by Hirzebruch. The 3-manifolds are related to a Lefschetz fibration of the complex hyperbolic orbifold.
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Dates et versions

hal-02293727 , version 1 (21-09-2019)

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Ruben Dashyan. A construction of representations of 3-manifold groups into PU(2,1) through Lefschetz fibrations. 2019. ⟨hal-02293727⟩
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