The Hochschild–Kostant–Rosenberg Isomorphism for Quantized Analytic Cycles
The Hochschild–Kostant–Rosenberg Isomorphism for Quantized Analytic Cycles
复制标题
量化解析循环的 Hochschild-Kostant-Rosenberg 同构
DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
Julien Grivaux
中科院分区：
文献类型：
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作者：
Julien Grivaux
在这篇文章中，我们提供了一个由Kashiwara在一篇未发表的手稿中勾画的关于光滑解析循环的广义HKR同构的详细描述。在其他应用中，它使我们能够解决最近由Arinkin和Cu{a}ldu{a}raru提出的关于对角注入情况下HKR同构的唯一性的问题。利用这一构造，我们还将具有无穷小缩回的光滑解析循环关联为一个循环类，该循环类是阻碍该循环成为全纯向量束横切面的消失轨迹的一个障碍。
In this article, we provide a detailed account of a construction sketched by Kashiwara in an unpublished manuscript concerning generalized HKR isomorphisms for smooth analytic cycles whose conormal exact sequence splits. It enables us, among other applications, to solve a problem raised recently by Arinkin and Cu{a}ldu{a}raru about uniqueness of such HKR isomorphisms in the case of the diagonal injection. Using this construction, we also associate with any smooth analytic cycle endowed with an infinitesimal retraction a cycle class which is an obstruction for the cycle to be the vanishing locus of a transverse section of a holomorphic vector bundle.