Moduli of ags of sheaves and their K-theory

Moduli of ags of sheaves and their K-theory
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滑轮的模数及其 K 理论

DOI:
10.14231/ag-2015-002
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发表时间:
2012
期刊:
arXiv: Algebraic Geometry
影响因子:
--
通讯作者:
Andrei Neguț
Andrei Neguț
中科院分区:
--
文献类型:
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作者:
Andrei Neguț

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引入了P2上层的ags的模空间,并利用它们得到了P2上层的通常模空间的导范畴之间的函子。这些函子诱导的行动的shue代数的K-理论,我们重新解释重言式类。特别是,这个动作提供了[Bar 00]中Baranovsky算子的K理论版本。
We introduce moduli spaces of ags of sheaves on P 2 , and use them to obtain functors between the derived categories of the usual moduli spaces of sheaves on P 2 . These functors induce an action of the shue algebra on K-theory, which we reinterpret in terms of tautological classes. In particular, this action provides a K-theoretic version of Baranovsky’s operators from [Bar00].