Symplectic automorphisms of CP^2 and the Thompson group T
Algebraic Geometry
2009-09-29 v3 Group Theory
Abstract
We explain how to construct a morphism from the group of birational automorphisms of CP^2 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.
Keywords
Cite
@article{arxiv.math/0611604,
title = {Symplectic automorphisms of CP^2 and the Thompson group T},
author = {Alexandr Usnich},
journal= {arXiv preprint arXiv:math/0611604},
year = {2009}
}
Comments
16 pages