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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Not peer reviewed

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Department:
Oxford, MPLS, Mathematical Institute
Publication date:
2017-01-04
Pubs id:
pubs:456239
URN:
uri:3ee0c455-ed13-454b-bbf0-2e7dc9dd84df
UUID:
uuid:3ee0c455-ed13-454b-bbf0-2e7dc9dd84df
Local pid:
pubs:456239
Keywords:

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