Bellamy, G. , Dodd, C., McGerty, K. and Nevins, T. (2017) Categorical cell decomposition of quantized symplectic algebraic varieties. Geometry and Topology, 21(5), pp. 2601-2681. (doi: 10.2140/gt.2017.21.2601)
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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 BiałynickiBirula stratification of a variety with an action of the multiplicative group Gm . The resulting categorical cell decomposition provides an algebrogeometric 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: | Published |
Refereed: | Yes |
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: | Geometry and Topology |
Publisher: | Mathematical Sciences Publishers |
ISSN: | 1465-3060 |
ISSN (Online): | 1364-0380 |
Copyright Holders: | Copyright © 2017 Mathematical Sciences Publishers |
First Published: | First published in Geometry and Topology 21(5):2601-2681 |
Publisher Policy: | Reproduced with the permission of the publisher |
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