%0 Journal Article
%T Attaching handles to Delaunay nodo£żds
%A Frank Pacard
%A Harold Rosenberg
%J Mathematics
%D 2010
%I arXiv
%X For all $m \in \mathbb N - \{0\}$, we prove the existence of a one dimensional family of genus $m$, constant mean curvature (equal to 1) surfaces which are complete, immersed in $\mathbb R^3$ and have two Delaunay ends asymptotic to nodo\"{\i}dal ends. Moreover, these surfaces are invariant under the group of isometries of $\mathbb R^3$ leaving a horizontal regular polygon with $m+1$ sides fixed.
%U http://arxiv.org/abs/1010.4974v1