CROSSINGLESS MATCHINGS AND THE COHOMOLOGY OF (n, n) SPRINGER VARIETIES

CROSSINGLESS MATCHINGS AND THE COHOMOLOGY OF (n, n) SPRINGER VARIETIES
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(n, n) Springer 品种的无交叉匹配和上同调

DOI:
10.1142/s0219199704001471
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发表时间:
2002
影响因子:
1.6
通讯作者:
M. Khovanov
M. Khovanov
中科院分区:
数学2区
文献类型:
--
作者:
M. Khovanov

文献摘要

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在早期的论文中,作者介绍了一组控制缠结的量子sl(2)不变量的分类的环。我们证明了这些环的中心同构于(n,n)Springer簇的上同调环,并证明了在这些环上的模的导出范畴中辫子群作用下降到对称群的Springer作用.
In an earlier paper, the author introduced a collection of rings that control a categorification of the quantum sl(2) invariant of tangles. We prove that centers of these rings are isomorphics to the cohomology rings of the (n, n) Springer varieties and show that the braid group action in the derived category of modules over these rings descends to the Springer action of the symmetric group.