An embedded genus-one helicoid.
There exists a properly embedded minimal surface of genus one with a single end asymptotic to the end of the helicoid. This genus-one helicoid is constructed as the limit of a continuous one-parameter family of screw-motion invariant minimal surfaces, also asymptotic to the helicoid, that have genus equal to one in the quotient.
Weber
Matthias
M
Department of Mathematics, Indiana University, Bloomington, IN 47405, USA.
Hoffman
David
D
Wolf
Michael
M