𝜆-lemma for families of Riemann surfaces and the critical loci of complex Hénon maps

Firsova, Tanya; Lyubich, Mikhail

doi:10.1090/ecgd/300

$\lambda$-lemma for families of Riemann surfaces and the critical loci of complex Hénon maps

Authors: Tanya Firsova and Mikhail Lyubich
Journal: Conform. Geom. Dyn. 21 (2017), 111-125
MSC (2010): Primary 32G15, 32H50, 37F10, 37F30
DOI: https://doi.org/10.1090/ecgd/300
Published electronically: March 16, 2017
MathSciNet review: 3623566
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Abstract: We prove a version of the classical $\lambda$-lemma for holomorphic families of Riemann surfaces. We then use it to show that critical loci for complex Hénon maps that are small perturbations of quadratic polynomials with Cantor Julia sets are all quasiconformally equivalent.

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