论文标题

Lagrangian图片

A Lagrangian Pictionary

论文作者

Biran, Paul, Cornea, Octav

论文摘要

本文的目的是描述拉格朗日拓扑中的字典几何<->代数。作为一种副产品,我们获得了民间传说猜想(有时归因于Kontsevich)的重言式(从本文的正文中解释),声称可以通过沉浸式的Lagrangians表示派生的福卡亚类别的对象和结构。我们的构建基于某些带有称为“手术模型”的结构的拉格朗日殖民主义类别。

The purpose of this paper is to describe a dictionary geometry <--> algebra in Lagrangian topology. As a by-product we obtain a tautological (in a sense explained in the body of the paper) proof of a folklore conjecture (sometimes attributed to Kontsevich) claiming that the objects and structure of the derived Fukaya category can be represented through immersed Lagrangians. Our construction is based on certain Lagrangian cobordism categories endowed with a structure called "surgery models".

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