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• W2950102984 abstract "We construct and study a natural homeomorphism between the moduli space of polynomial cubic differentials of degree d on the complex plane and the space of projective equivalence classes of oriented convex polygons with d+3 vertices. This map arises from the construction of a complete hyperbolic affine sphere with prescribed Pick differential, and can be seen as an analogue of the Labourie-Loftin parameterization of convex RP^2 structures on a compact surface by the bundle of holomorphic cubic differentials over Teichmuller space." @default.
• W2950102984 created "2019-06-27" @default.
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• W2950102984 creator A5032056232 @default.
• W2950102984 date "2014-07-30" @default.
• W2950102984 modified "2023-09-27" @default.
• W2950102984 title "Polynomial cubic differentials and convex polygons in the projective plane" @default.
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