论文标题
多皮希德拉的对角线和一个感染形态的张量产物
The diagonal of the multiplihedra and the tensor product of A-infinity morphisms
论文作者
论文摘要
我们定义了多皮希德拉的力量实现的对角线的细胞近似，并在协会的loday实现上赋予了它们以兼容的拓扑拓扑细胞的bimoduly bimodule结构。这为我们提供了一个模型，用于拓扑和代数A-赋值态度，以及其张量产品的通用和明确的公式。我们研究了该新定义的张量产品的单体性质，并通过概述了几种应用，尤其是在代数和合成性拓扑结构中得出的结论。
We define a cellular approximation for the diagonal of the Forcey--Loday realizations of the multiplihedra, and endow them with a compatible topological cellular operadic bimodule structure over the Loday realizations of the associahedra. This provides us with a model for topological and algebraic A-infinity morphisms, as well as a universal and explicit formula for their tensor product. We study the monoidal properties of this newly defined tensor product and conclude by outlining several applications, notably in algebraic and symplectic topology.
