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Stasheff polytopes and the coordinate ring of the cluster X-variety of type A_n

We define Stasheff polytopes in the space of tropical points of cluster A-varieties. We study the supports of products of elements of canonical bases for cluster X-varieties. We prove that, for the cluster X-variety of type A_n, such supports are Stasheff polytopes.

preprint2012arXivOpen access
Linhui Shen
math.AG
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Linhui Shen

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