Symplectic automorphisms of CP² and the Thompson group T

2006/11/20 by Alexandr Usnich, Usnich, Alexandr
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #math.AG #math.GR

paper · pdf · doi:10.48550/arxiv.math/0611604

16 pages

openalex publication_date 2006/11/20 · arxiv created 2006/12/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We explain how to construct a morphism from the group of birational automorphisms of CP² preserving the logarithmic Poisson bracket to the Thompson group T. Than we give a linear representation of the former group, provide some information about Thompson group T and give it's new presentation in terms of generators and relations, and speculate about the presentation of the group of birational symplectomorphisms.

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