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Main Authors: Aygun, Juliet, Barkdoll, Janet, Calderon, Aaron, Lorman, Jenavie, Sandstrom, Theodore
Formato: Preprint
Publicado em: 2024
Assuntos:
Acesso em linha:https://arxiv.org/abs/2404.08096
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Sumário:
  • Any pair of intersecting cylinders on a translation surface is "coherent," in that the geometric and algebraic intersection numbers of their core curves are equal (up to sign). In this paper, we investigate when a pair of multicurves can be simultaneously realized as the core curves of cylinders on some translation surface. Our main tools are surface topology and the "flat grafting" deformation introduced by Ser-Wei Fu.