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The Deformation Spaces of Geodesic Triangulations of Flat Tori

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 نشر من قبل Yanwen Luo
 تاريخ النشر 2021
  مجال البحث
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We prove that the deformation space of geodesic triangulations of a flat torus is homotopy equivalent to a torus. This solves an open problem proposed by Connelly et al. in 1983, in the case of flat tori. A key tool of the proof is a generalization of Tuttes embedding theorem for flat tori. When this paper is under preparation, Erickson and Lin proved a similar result, which works for all convex drawings.



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