The Hochschild-Kostant-Rosenberg isomorphism for quantized analytic cycles
Algebraic Geometry
2017-10-10 v2
Abstract
In this article, we provide a detailed account of a construction sketched by Kashiwara in an unpublished manuscript concerning generalized HKR isomorphisms for smooth analytic cycles whose conormal exact sequence splits.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 C\u{a}ld\u{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.
Keywords
Cite
@article{arxiv.1109.0739,
title = {The Hochschild-Kostant-Rosenberg isomorphism for quantized analytic cycles},
author = {Julien Grivaux},
journal= {arXiv preprint arXiv:1109.0739},
year = {2017}
}
Comments
Mistake corrected in Section 5.2