Gluing Delaunay ends to minimal n-noids using the DPW method

TL;DR

This paper presents a method for constructing constant mean curvature surfaces by attaching Delaunay ends to minimal n-noids using the DPW technique.

Contribution

It introduces a novel approach to gluing Delaunay ends to minimal n-noids with the DPW method, expanding the toolkit for surface construction.

Findings

Successfully constructs constant mean curvature surfaces with glued Delaunay ends.

Demonstrates the effectiveness of the DPW method in surface gluing.

Provides new examples of complex CMC surfaces.

Abstract

We construct constant mean curvature surfaces in euclidean space by gluing n half Delaunay surfaces to a non-degenerate minimal n-noid, using the DPW method.