Classification of deformation quantization algebroids on complex symplectic manifolds

Details Classification of deformation quantization algebroids on complex symplectic manifolds Classification of deformation quantization algebroids on complex symplectic manifolds

2005-03-19

arxiv.org/abs/math/0503400v2

Mathematics

Algebraic Geometry

17 pages; section 6 removed (see "Uniqueness of quantization of complex contact manifolds") and minor changes

Scientific paper

Deformation quantization algebroids over a complex symplectic manifold X are
locally given by rings of WKB operators, that is, microdifferential operators
with an extra central parameter \tau. In this paper, we will show that such
algebroids are classified by H^2(X;k^*), where k^* is a subgroup of the group
of invertible formal Laurent series in \tau^-1.

Affiliated with

Also associated with

No associations

Rating

Classification of deformation quantization algebroids on complex symplectic manifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Classification of deformation quantization algebroids on complex symplectic manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Classification of deformation quantization algebroids on complex symplectic manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-180247