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Hyperbolic extensions
of free groups from atoroidal ping-pong
Caglar Uyanik |
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Algebraic & Geometric Topology 19 (2019) 1385–1411
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Abstract |
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We prove that all atoroidal automorphisms of act on the space of projectivized geodesic currents with generalized north–south dynamics. As an application, we produce new examples of nonvirtually cyclic, free and purely atoroidal subgroups of such that the corresponding free group extension is hyperbolic. Moreover, these subgroups are not necessarily convex cocompact. |
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Keywords
free groups, hyperbolic extensions, $\mathrm{Out}(F_N)$,
geodesic currents
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Mathematical Subject Classification 2010
Primary: 20F28, 20F67
Secondary: 37D40
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References |
Publication
Received: 19 March 2018
Revised: 3 September 2018
Accepted: 3 October 2018
Published: 21 May 2019
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Authors |
| Caglar Uyanik | |
| Department of Mathematics Yale University New Haven, CT United States |
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