A note on the pentagram map and tropical geometry
Metric Geometry
2014-05-02 v1
Abstract
In this note we study the action of the pentagram map on the moduli space of twisted polygons. The action with respect to the canonical coordinate turns out to be applicable to the framework of tropical geometry. As an application, we induce quasi-recursiveness of the pentagram map on some domain, which is induced from dynamical property of the pentagram automaton.
Keywords
Cite
@article{arxiv.1405.0084,
title = {A note on the pentagram map and tropical geometry},
author = {Tsuyoshi Kato},
journal= {arXiv preprint arXiv:1405.0084},
year = {2014}
}