Title:
Twisted
Deformation Quantization of Algebraic Varieties
Author:
Amnon
Yekutieli
Publication
status:
Eprint
arXiv:0905.0488
Abstract:
Let X
be a smooth algebraic variety over a field K containing the real
numbers. We introduce the notion of twisted associative (resp.
Poisson) deformation of the structure sheaf of X. These are
stack-like versions of usual deformations. We prove that there is a
twisted quantization map from twisted Poisson deformations
to
twisted associative deformations, which is canonical and bijective
on gauge equivalence classes. This result extends work of Kontsevich,
and our
own earlier work, on deformation quantization of algebraic
varieties.
Electronic
Preprint:
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updated 15 Oct 2011