标题： 莫尔斯同调中的路径积与微分分次系数 显示英文标题

标题： The Path-product in Morse Homology with differential graded coefficients

摘要： 我们将使用[Rie24]中开发的工具，对流形Y中端点在子流形X上的路径空间的同调上的字符串拓扑乘积进行Morse理论描述，并对该同调在Y的Chas-Sullivan环上的模结构进行描述。 这些运算已在奇异同调中由Stegemeyer在[Ste25]中定义和研究。 显示英文摘要

摘要： We will use the tools developed in [Rie24] to give a Morse-theoretic description of a string topology product on the homology of the space of paths in a manifold Y with endpoints in a submanifold X and a module structure on this homology over the Chas-Sullivan ring of Y . These operations have been defined and studied by Stegemeyer in [Ste25] in singular homology.