2009/07/03 by Jacob Bernstein, Bernstein, Jacob, Christine Breiner +1
Mathematics · #53A10 #Advanced Topology and Set Theory #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.DG #msc:53A10
paper · pdf · doi:10.48550/arxiv.0907.0518
14 pages, 2 figures
arxiv created 2009/07/03 · openalex publication_date 2009/07/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Using the lamination theory developed by Colding and Minicozzi for sequences of embedded, finite genus minimal surfaces with boundaries going to infinity \citeCM5, we show that the space of genus-one helicoids is compact (modulo rigid motions and homotheties). This generalizes a result of Hoffman and White \citeHW.