Submitted by math_admin on Sat, 03/07/2020 - 09:21
preprint-id:
preprint-title:
Hedgehogs in higher dimensions and their applications
preprint-abstract:
In this paper we study the dynamics of germs of holomorphic diffeomorphisms of $(\mathbb{C}^{n},0)$ with a fixed point at the origin with exactly one neutral eigenvalue. We prove that the map on any local center manifold of $0$ is quasiconformally conjugate to a holomorphic map and use this to transport results from one complex dimension to higher dimensions.
preprint-year:
2016