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Peer-reviewedCC BYDifferential Geometry and its Applications

An outline of shifted Poisson structures and deformation quantisation in derived differential geometry

  • J. P. Pridham
Open at sourceDOICite

Abstract

We explain how to translate several recent results in derived algebraic geometry to derived differential geometry. These concern shifted Poisson structures on NQ-manifolds, Lie groupoids, smooth stacks and derived generalisations, and include existence and classification of various deformation quantisations.

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Cite

BibTeXRIS
BibTeX
@article{pridham2026outline,
  title = {{An outline of shifted Poisson structures and deformation quantisation in derived differential geometry}},
  author = {J. P. Pridham},
  journal = {Differential Geometry and its Applications},
  year = {2026},
  month = jul,
  doi = {10.1016/j.difgeo.2026.102420},
  url = {https://doi.org/10.1016/j.difgeo.2026.102420},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - An outline of shifted Poisson structures and deformation quantisation in derived differential geometry
AU  - J. P. Pridham
PY  - 2026
DA  - 2026/07/29
JO  - Differential Geometry and its Applications
DO  - 10.1016/j.difgeo.2026.102420
UR  - https://doi.org/10.1016/j.difgeo.2026.102420
AB  - We explain how to translate several recent results in derived algebraic geometry to derived differential geometry. These concern shifted Poisson structures on NQ-manifolds, Lie groupoids, smooth stacks and derived generalisations, and include existence and classification of various deformation quantisations.
SN  - 0926-2245
SN  - 1872-6984
ER  -