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arXiv math/0202110math.QA
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无交匹配与(n,n)Springer簇的上同调

Crossingless matchings and the cohomology of (n,n) Springer varieties

Mikhail Khovanov

摘要:

在数学QA/0103190中引入的环序列$H^n, n\ge 0,$控制缠结的量子sl(2)不变量的分类。证明了$H^n$的中心同构于(n,n)Springer簇的上同调环,并证明了$H^n$ -模的导出范畴中的辫群作用下降到对称群的Springer作用.

英文摘要:

The sequence of rings $H^n, n\ge 0,$ introduced in math.QA/0103190, controls categorification of the quantum sl(2) invariant of tangles. We prove that the center of $H^n$ is isomorphic to the cohomology ring of the (n,n) Springer variety and show that the braid group action in the derived category of $H^n$-modules descends to the Springer action of the symmetric group.

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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