Rank two affine manifolds in genus three

2016/12/21 by David Aulicino, Aulicino, David, Duc-Manh Nguyen +1
Mathematics · #Algebraic Geometry and Number Theory #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1612.06970

openalex publication_date 2016/12/21 · openalex created_date 2017/05/26 · openalex updated_date 2026/07/28

Abstract

We complete the classification of rank two affine manifolds in the moduli\nspace of translation surfaces in genus three. Combined with a recent result of\nMirzakhani and Wright, this completes the classification of higher rank affine\nmanifolds in genus three.\n

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