Domains of proper discontinuity on the boundary of outer space

Ilya Kapovich, Martin Lustig

Research output: Contribution to journalArticlepeer-review


Motivated by the work of McCarthy and Papadopoulos for subgroups of mapping class groups, we construct domains of proper discontinuity in the compactified Outer space and in the projectivized space of geodesic currents for any "dynamically large" subgroup of Out(FN) (that is, a subgroup containing an atoroidal iwip). As a corollary, we prove that for N≥3 the action of Out(FN) on the subset of ℙCurr(FN) consisting of all projectivized currents with full support is properly discontinuous.

Original languageEnglish (US)
Pages (from-to)89-108
Number of pages20
JournalIllinois Journal of Mathematics
Issue number1
StatePublished - 2010
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)


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