加厚多穿孔圆盘中连杆的Khovanov同调性

Pub Date : 2021-06-07 DOI:10.1307/mmj/20216166

Zachary Winkeler

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引用次数: 1

摘要

我们定义了具有多个穿孔的厚盘连杆的Khovanov同源性的一个变体。这个理论不同于先前由Asaeda, Przytycki和Sikora定义的理论，但是通过光谱序列与之相关。此外，我们还证明了由加厚表面嵌入引起的谱序列，作为一种特殊情况，谱序列从环形Khovanov同调恢复到Khovanov同调。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Khovanov Homology for Links in Thickened Multipunctured Disks

We define a variant of Khovanov homology for links in thickened disks with multiple punctures. This theory is distinct from the one previously defined by Asaeda, Przytycki, and Sikora, but is related to it by a spectral sequence. Additionally, we show that there are spectral sequences induced by embeddings of thickened surfaces, which recover the spectral sequence from annular Khovanov homology to Khovanov homology as a special case.

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