Twisted deformation quantization of algebraic varieties (survey) Academic Article uri icon

abstract

  • Abstract. Let X be a smooth algebraic variety over a field of characteristic 0. We introduce the notion of twisted associative (resp. Poisson) deformation of the structure sheaf OX. 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 equivalence classes.

publication date

  • January 1, 2012