Rank Two Affine Manifolds in Genus 3

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Aulicino, David; Nguyen, Duc-Manh;
  • Subject: Mathematics - Dynamical Systems | Mathematics - Geometric Topology
    arxiv: Mathematics::Algebraic Geometry | Mathematics::Geometric Topology | Mathematics::Symplectic Geometry

We complete the classification of rank two affine manifolds in the moduli space of translation surfaces in genus three. Combined with a recent result of Mirzakhani and Wright, this completes the classification of higher rank affine manifolds in genus three.
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