# MathSciDoc: An Archive for Mathematician ∫

#### Algebraic Geometrymathscidoc:1912.43246

Selecta Mathematica, 20, (3), 929-959, 2014.7
We define Stasheff polytopes in the spaces of tropical points of cluster A -varieties. We study the supports of products of elements of canonical bases for cluster A -varieties. We prove that, for the cluster A -variety of type A , such supports are Stasheff polytopes.
@inproceedings{linhui2014stasheff,
title={Stasheff polytopes and the coordinate ring of the cluster $$\mathcal$$-variety of type $$A_n$$ An},
author={Linhui Shen},
url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221113202701610806},
booktitle={Selecta Mathematica},
volume={20},
number={3},
pages={929-959},
year={2014},
}

Linhui Shen. Stasheff polytopes and the coordinate ring of the cluster $$\mathcal$$-variety of type $$A_n$$ An. 2014. Vol. 20. In Selecta Mathematica. pp.929-959. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221113202701610806.