Geodesic currents and length compactness for automorphisms of free groups

• Autores: Stefano Francaviglia
• Localización: Transactions of the American Mathematical Society, ISSN 0002-9947, Vol. 361, Nº 1, 2009, págs. 161-176
• Idioma: inglés
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• Resumen

  • We prove a compactness theorem for automorphisms of free groups. Namely, we show that the set of automorphisms keeping the length of the uniform current bounded is compact (up to conjugation). This implies that the spectrum of the length of the images of the uniform current is discrete, proving a conjecture of I. Kapovich.