%0 Journal Article
%T Smooth Combs Inside Hedgehogs
%A Kingshook Biswas
%J Mathematics
%D 2009
%I arXiv
%X We use techniques of tube-log Riemann surfaces due to R.Perez-Marco to construct a hedgehog containing smooth $C^{\infty}$ combs. The hedgehog is a common hedgehog for a family of commuting non-linearisable holomorphic maps with a common indifferent fixed point. The comb is made up of smooth curves, and is transversally bi-H\"older regular.
%U http://arxiv.org/abs/0903.2400v1