Topological and geometric hyperbolicity criteria for polynomial automorphisms of C^2

Eric Bedford; Romain Dujardin

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arXiv · 2006.02088

Topological and geometric hyperbolicity criteria for polynomial automorphisms of C^2

Eric Bedford·Romain Dujardin

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Abstract

We prove that uniform hyperbolicity is invariant under topological conjugacy for dissipative polynomial automorphisms of C^2. Along the way we also show that a sufficient condition for hyperbolicity is that local stable and unstable manifolds of saddle points have uniform geometry.

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Eric Bedford, Romain Dujardin. 2020-06-03. Topological and geometric hyperbolicity criteria for polynomial automorphisms of C^2. https://arxiv.org/abs/2006.02088

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