Bellamy, G. , Dodd, C., McGerty, K. and Nevins, T. (2013) Categorical cell decomposition of quantized symplectic algebraic varieties. arXiv, (Unpublished)
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Abstract
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.
Item Type: | Articles |
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Status: | Unpublished |
Refereed: | No |
Glasgow Author(s) Enlighten ID: | Bellamy, Professor Gwyn |
Authors: | Bellamy, G., Dodd, C., McGerty, K., and Nevins, T. |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | arXiv |
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