Twistor triangles in the period domain of complex tori

2018/06/26 by Nikolay Buskin, Buskin, Nikolay
Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1806.09794

openalex publication_date 2018/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the geometry of the (generalized) twistor triangles \triangle J₁J₂J₃ in the period domain of compact complex tori of complex dimension 2n by the means of the representation theory of the algebras (of real dimension 8) generated by the complex structures J₁,J₂,J₃. Considering the period domain as the homogeneous space for G=GL_4n(ℝ), we introduce on it a G-invariant pseudometric and define pseudometric invariants, helping us to distinguish triangles from a reasonable class up to G-equivalence.

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