title: An embedded genus-one helicoid.
abstract: 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.
authors.affiliation: Department of Mathematics, Indiana University, Bloomington, IN 47405, USA.
authors.forename: Matthias
authors.initials: M
authors.lastname: Weber
authors.forename: David
authors.initials: D
authors.lastname: Hoffman
authors.forename: Michael
authors.initials: M
authors.lastname: Wolf