Ilya Kapovich

activity

19952026

most citedGeometric Intersection Number and analogues of the Curve Complex for free groups

47 citations · 349 across the 75 of their papers we have counts for

collaborators

Showing 2009 · math.GRShow all

3 papers · 2 filters

math.GR2009★ 12 cited

Stabilizers of $R$ -trees with free isometric actions of $F_{N}$

Ilya Kapovich, Martin Lustig

We prove that if $T$ is an $R$ -tree with a minimal free isometric action of $F_{N}$ , then the $O u t (F_{N})$ -stabilizer of the projective class $[T]$ is virtually cyclic. For the…

math.GR2009

Domains of proper discontinuity on the boundary of Outer space

Ilya Kapovich, Martin Lustig

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 pr…

math.GR2009★ 20 cited

Ping-pong and Outer space

Ilya Kapovich, Martin Lustig

We prove that if $ϕ, ψ \in O u t (F_{N})$ are hyperbolic iwips (irreducible with irreducible powers) such that $< ϕ, ψ >\leq O u t (F_{N})$ is not virtually cyclic then some high powers of $ϕ$ and…

Stabilizers of R-trees with free isometric actions of FN​

Domains of proper discontinuity on the boundary of Outer space

Ping-pong and Outer space

Stabilizers of $R$ -trees with free isometric actions of $F_{N}$