论文标题
丝带二方和模块化色带
Ribbon dioperads and modular ribbon properads
论文作者
论文摘要
我们定义并研究了色带二方和模块化色带的概念。我们在colimit的总体对象和色带折射的极限总体对象上给出了一个谎言代数结构，并在它们之间给出了标准图。我们为DG Ribbon Co-Dioperads提供了筒式结构。我们还证明了模块化色调的结果相似的结果。这些结果适用于更高的Hochschild Cochain复合物和前校赛前类别的研究。
We define and study the notions of ribbon dioperads and modular ribbon properads. We give a Lie algebra structure on the colimit total object and the limit total object of a ribbon dioperad, and we give a norm map between them. We give a cobar construction for dg ribbon co-dioperads. We also prove similar results for modular ribbon properads. These results are applied to the study of higher Hochschild cochain complexes and pre-Calabi-Yau categories.
