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INVARIANT LAMINATIONS FOR IRREDUCIBLE AUTOMORPHISMS OF FREE GROUPS (2014)

Kapovich, I., Lustig, M.

Oxford University Press

In: Quarterly Journal of Mathematics

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Publication Date: 2014-11-20

Description: For every irreducible hyperbolic automorphism of F N (i.e. the analog of a pseudo-Anosov mapping class) it is shown that the algebraic lamination dual to the forward limit tree T + () is obtained as ‘diagonal closure’ of the support of the backward limit current μ – (). This diagonal closure is obtained through a finite procedure analogous to adding diagonal leaves from the complementary components to the stable lamination of a pseudo-Anosov homeomorphism. We also give several new characterizations as well as a structure theorem for the dual lamination of T + (), in terms of Bestvina–Feighn–Handel's ‘stable lamination’ associated to .

Print ISSN: 0033-5606

Electronic ISSN: 1464-3847

Topics: Mathematics

Published by Oxford University Press

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