Abstract / Description of output
We construct a map from DQ algebroid quantisations of unshifted symplectic structures on a derived Artin N-stack to power series in de Rham cohomology, depending only on a choice of Levi decomposition for the Grothendieck--Teichmueller group. This gives an equivalence between even power series and certain involutive quantisations, which yield involutive curved A-infinity deformations of the dg category of perfect complexes. In particular, there is a canonical quantisation associated to every symplectic structure on such a stack, which agrees for smooth varieties with the Kontsevich--Tamarkin quantisation.
Original language | English |
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Pages (from-to) | 3027-3059 |
Number of pages | 33 |
Journal | Selecta Mathematica (New Series) |
Volume | 24 |
Issue number | 4 |
Early online date | 27 Apr 2018 |
DOIs | |
Publication status | Published - Sept 2018 |
Keywords / Materials (for Non-textual outputs)
- math.AG
- math.QA
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Dive into the research topics of 'Deformation quantisation for unshifted symplectic structures on derived Artin stacks'. Together they form a unique fingerprint.Profiles
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Jon Pridham
- School of Mathematics - Personal Chair of Derived Algebraic Geometry
Person: Academic: Research Active