Abstract

Let G be a finitely generated Kleinian group and let Δ be an invariant collection of components in its region of discontinuity. The Teichmüller space T( Δ, G) supported in Δ is the space of equivalence classes of quasiconformal homeomorphisms with complex dilatation invariant under G and supported in Δ. In this paper we propose a partial closure of T(Δ,G) by considering certain deformations of the above homeomorphisms. Such a partial closure is denoted by NT(Δ, G) and called the noded Teichmüller space of G supported in Δ. Some concrete examples are discussed.