## Rank Two Affine Manifolds in Genus 3

*Aulicino, David*;

*Nguyen, Duc-Manh*;

- Subject: Mathematics - Dynamical Systems | Mathematics - Geometric Topologyarxiv: 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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