%0 Journal Article
%T Categorical Cell Decomposition of Quantized Symplectic Algebraic Varieties
%A Gwyn Bellamy
%A Christopher Dodd
%A Kevin McGerty
%A Thomas Nevins
%J Mathematics
%D 2013
%I arXiv
%X We prove a new symplectic analogue of Kashiwara's Equivalence from D-module theory. As a consequence, we establish a structure theory for module categories over deformation quantizations that mirrors, at a higher categorical level, the Bialynicki-Birula stratification of a variety with an action of the multiplicative group. The resulting categorical cell decomposition provides an algebro-geometric parallel to the structure of Fukaya categories of Weinstein manifolds. From it, we derive concrete consequences for invariants such as K-theory and Hochschild homology of module categories of interest in geometric representation theory.
%U http://arxiv.org/abs/1311.6804v2