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arXiv 1902.00399math.ATmath.COmath.GR
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分次原子格层同调的删除限制

Deletion-restriction for sheaf homology of graded atomic lattices

Brent Everitt, Paul Turner

摘要:

利用消去格和限制格,给出了具有模模层的分次原子格的同调的长正合序列。然后,这是用来计算的配置格的超平面安排配备了自然层的同源性。这概括了Lusztig的一个旧结果。

英文摘要:

We give a long exact sequence for the homology of a graded atomic lattice equipped with a sheaf of modules, in terms of the deleted and restricted lattices. This is then used to compute the homology of the arrangement lattice of a hyperplane arrangement equipped with the natural sheaf. This generalises an old result of Lusztig.

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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