论文标题

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Graph insertion operads

论文作者

Aval, Jean-Christophe, Giraudo, Samuele, Karaboghossian, Théo, Tanasa, Adrian

论文摘要

使用组合物种设置,我们提出了两种有关多编码和尖锐的多编码的新作业结构。前者可以被视为多编码的典型作业,直接概括了Kontsevich-Willwacher Operad,并具有许多有趣的子表演。后者是在此处开发的意义上的自然延伸,并且与跨编码的歌剧相关。我们研究了一些有限生成的跨编织族群,并在交通工具与交换性的麦克马乳木麦提克(Magmatic Operad)之间建立了联系。

Using the combinatorial species setting, we propose two new operad structures on multigraphs and on pointed oriented multigraphs. The former can be considered as a canonical operad on multigraphs, directly generalizing the Kontsevich-Willwacher operad, and has many interesting suboperads. The latter is a natural extension of the pre-Lie operad in a sense developed here and related to the multigraph operad. We study some of the finitely generated suboperads of the multigraph operad and establish links between them and the commutative operad and the commutative magmatic operad.

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