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An embedded genus-one helicoid

Matthias Weber·David Hoffman·Michael Wolf
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Abstract

There exists a properly embedded minimal surface of genus one with one end. The end is 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.

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Matthias Weber, David Hoffman, Michael Wolf. 2004-06-04. An embedded genus-one helicoid. https://doi.org/10.1073/pnas.0508008102

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