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Stacks of quantization-deformation modules on complex symplectic manifolds
- Source :
- International Mathematics Research Notices, International Mathematics Research Notices, Oxford University Press (OUP), 2004, 49, pp.2637-2664, International Mathematics Research Notices, 2004, 49, pp.2637-2664
- Publication Year :
- 2003
-
Abstract
- On a complex symplectic manifold, we construct the stack of quantization-deformation modules, that is, (twisted) modules of microdifferential operators with an extra central parameter, a substitute to the lack of homogeneity. We also quantize involutive submanifolds of contact manifolds.<br />In this new version, we have deleted from the previous one Lemma 7.6, Proposition 7.7 and Proposition 7.8 which were erroneous
- Subjects :
- Deformation quantization
complex symplectic manifolds
microdifferential operators
stacks
[MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG]
46L65, 14A20, 32C38
[MATH.MATH-SG]Mathematics [math]/Symplectic Geometry [math.SG]
[MATH.MATH-SG] Mathematics [math]/Symplectic Geometry [math.SG]
Mathematics - Algebraic Geometry
Mathematics - Symplectic Geometry
FOS: Mathematics
Symplectic Geometry (math.SG)
[MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG]
Mathematics::Differential Geometry
Algebraic Geometry (math.AG)
Mathematics::Symplectic Geometry
Subjects
Details
- Language :
- English
- ISSN :
- 10737928 and 16870247
- Database :
- OpenAIRE
- Journal :
- International Mathematics Research Notices, International Mathematics Research Notices, Oxford University Press (OUP), 2004, 49, pp.2637-2664, International Mathematics Research Notices, 2004, 49, pp.2637-2664
- Accession number :
- edsair.doi.dedup.....77fbb1322b69fbb1dcfb0721d28bbd33