The pentagram map and Y-patterns
Combinatorics
2011-04-18 v2 Metric Geometry
Abstract
The pentagram map, introduced by R. Schwartz, is defined by the following construction: given a polygon as input, draw all of its "shortest" diagonals, and output the smaller polygon which they cut out. We employ the machinery of cluster algebras to obtain explicit formulas for the iterates of the pentagram map.
Cite
@article{arxiv.1005.0598,
title = {The pentagram map and Y-patterns},
author = {Max Glick},
journal= {arXiv preprint arXiv:1005.0598},
year = {2011}
}
Comments
27 pages, 11 figures. To appear in Advances in Mathematics