Stasheff polytopes and the coordinate ring of the cluster XX-variety of type An

• Linhui Shen ^[1]
  1. [1] Yale University

     Yale University

     Town of New Haven, Estados Unidos

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 20, Nº. 3, 2014, págs. 929-959
• Idioma: inglés
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• Resumen

  • We define Stasheff polytopes in the spaces of tropical points of cluster AA -varieties. We study the supports of products of elements of canonical bases for cluster XX -varieties. We prove that, for the cluster XX -variety of type AnAn , such supports are Stasheff polytopes.