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arXiv 0908.2675math.QAmath.CT
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费曼图和紧致对称多范畴的神经定理(扩展摘要)

Feynman graphs, and nerve theorem for compact symmetric multicategories (extended abstract)

André Joyal, Joachim Kock

摘要:

我们描述一类费曼图,并显示它如何涉及到紧凑的对称multicategories(彩色模块操作),就像线性订单涉及到类别和有根树涉及到multicategories。更具体地说,我们得到以下神经定理:紧凑的对称multicategories可以被描述为preheaves的费曼图的范畴受到西格尔条件。本文是第二位作者的QPL 6演讲的总结;对这些材料的更详细的描述将出现在其他地方。

英文摘要:

We describe a category of Feynman graphs and show how it relates to compact symmetric multicategories (coloured modular operads) just as linear orders relate to categories and rooted trees relate to multicategories. More specifically we obtain the following nerve theorem: compact symmetric multicategories can be characterised as presheaves on the category of Feynman graphs subject to a Segal condition. This text is a write-up of the second-named author's QPL6 talk; a more detailed account of this material will appear elsewhere.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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