论文标题

Lagrangian COBORDISM的一类

A-infinity category of Lagrangian cobordisms in the symplectization of PxR

论文作者

Legout, Noémie

论文摘要

我们定义了一个Unital $ a_ \ infty $ - 类别,其对象是$ y = p \ times \ times \ mathbb {r} $的符合性的lagangian cobordism,其对配备有增强功能的传奇人物的圆柱末端为负。形态空间是根据浮子络合物$ CTH _+(σ_0,σ_1)$给出的,该版本是由Simplectic Field Theory(SFT)技术定义的Rabinowitz浮动复合物的版本。

We define a unital $A_\infty$-category whose objects are exact Lagrangian cobordisms in the symplectization of $Y=P\times\mathbb{R}$, with negative cylindrical ends over Legendrians equipped with augmentations. The morphism spaces are given in terms of Floer complexes $Cth_+(Σ_0,Σ_1)$ which are versions of the Rabinowitz Floer complex defined by Symplectic Field Theory (SFT) techniques.

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