闭/开弦数学
Closed/open string diagrammatics
摘要：
我们介绍了一个组合模型的基础上测量的叶理表面捕捉开/闭弦相互作用的现象。在此模型中导出了预测方程，并可以发现新的方程。特别是，几个新的方程与已知的变换产生的组合版本的开放/封闭的对偶。在拓扑和链的水平上，发现的代数结构是新的，但它专门用于一个模块的双操作数的同源性水平。
英文摘要：
We introduce a combinatorial model based on measured foliations in surfaces which captures the phenomenology of open/closed string interactions. The predicted equations are derived in this model, and new equations can be discovered as well. In particular, several new equations together with known transformations generate the combinatorial version of open/closed duality. On the topological and chain levels, the algebraic structure discovered is new, but it specializes to a modular bi-operad on the level of homology.
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