关于一些p-微分分级链同源性

IF 2.8 1区数学 Q1 MATHEMATICS

Forum of Mathematics Pi Pub Date : 2020-09-14 DOI:10.1017/fmp.2022.19

You Qi, Joshua Sussan

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引用次数: 10

摘要

摘要我们证明了在具有正奇特征p的域上节点和链接的三阶Khovanov–Rozansky同调在同伦范畴有限维p复形中降为不变量。Cautis发现的三重分级同源性上的p-扩展微分与p-DG结构相容。因此，我们得到了Jones多项式的一个分类，其评估值为第$2p$个单位根。

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On some p-differential graded link homologies

Abstract We show that the triply graded Khovanov–Rozansky homology of knots and links over a field of positive odd characteristic p descends to an invariant in the homotopy category finite-dimensional p-complexes. A p-extended differential on the triply graded homology discovered by Cautis is compatible with the p-DG structure. As a consequence, we get a categorification of the Jones polynomial evaluated at a $2p$th root of unity.

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来源期刊

Forum of Mathematics Pi Mathematics-Statistics and Probability

CiteScore

3.50

自引率

0.00%

发文量

审稿时长

19 weeks

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