Journal article
Morse decomposition for D-module categories on stacks
- Abstract:
-
Let Y be a smooth algebraic stack exhausted by quotient stacks. Given a Kirwan-Ness stratification of the cotangent stack T^*Y, we establish a recollement package for twisted D-modules on Y, gluing the category from subquotients described via modules microsupported on the Kirwan-Ness strata of T^*Y. The package includes unusual existence and "preservation-of-finiteness" properties for functors of the full category of twisted D-modules, extending the standard functorialities for holonomic modu...
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- Publication status:
- Not published
- Peer review status:
- Not peer reviewed
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Bibliographic Details
- Publication date:
- 2017-01-01
- Source identifiers:
-
456239
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- Copyright date:
- 2017
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