Stable manifolds of holomorphic diffeomorphisms

Abstract

We consider stable manifolds of a holomorphic diffeomorphism of a complex manifold. Using a conjugation of the dynamics to a (non-stationary) polynomial normal form, we show that typical stable manifolds are biholomorphic to complex Euclidean space.

17 pages. Revised version. To appear in Inv. Math

References in corpus (1)

• Polynomial diffeomorphisms of C^2, IV: The measure of maximal entropy and laminar currents

Cited by in corpus (4)

• Automorphisms of surfaces: Kummer rigidity and measure of maximal entropy
• Dark Energy from Topology
• Non-Autonomous Basins of Attraction With 4-Dimensional Boundaries
• Equivalent conditions for hyperbolicity on partially hyperbolic holomorphic map