标题： 关于来自无 punctured 曲面的代数的 (同) 谐群的注记 显示英文标题

标题： A note on (co)homologies of algebras from unpunctured surfaces

摘要： 在以前的一篇论文中，作者计算了从（无孔）三角形曲面得到的雅可比代数的Hochschild上同调群的维数，并以内部三角形的数量、顶点的数量以及某种边界的存在性来解释这些数值。 本说明的目的是计算同一类代数的循环（上）同调和Hochschild同调，并通过三角形曲面的元素来解释这些维数。 显示英文摘要

摘要： In a previous paper, the author compute the dimension of Hochschild cohomology groups of Jacobian algebras from (unpunctured) triangulated surfaces, and gave a geometric interpretation of those numbers in terms of the number of internal triangles, the number of vertices and the existence of certain kind of boundaries. The aim of this note is computing the cyclic (co)homology and the Hochschild homology of the same family of algebras and giving an interpretation of those dimensions through elements of the triangulated surface.