Hedgehogs for neutral dissipative germs of holomorphic diffeomorphisms of (C^2,0)

Abstract

We prove the existence of hedgehogs for germs of complex analytic diffeomorphisms of (C, 0) with a semi-neutral fixed point at the origin, using topological techniques. This approach also provides an alternative proof of a theorem of Pérez-Marco on the existence of hedgehogs for germs of univalent holomorphic maps of (C, 0) with a neutral fixed point.