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Quantum Lichnerowicz – Poisson Complex

EasyChair Preprint no. 8843

10 pagesDate: September 20, 2022


Using the curved bc–beta-gamma system (a tensor product of a Heisenberg and a Clifford vertex algebra) we introduce quantum analogy of Lichnerowicz differential. As follows we suggest new machinery for finding the Lichnerowicz–Poisson cohomology groups for any Poisson manifold. Moreover, the defined provides new invariant.

Keyphrases: Chiral de Rham complex, cohomologies, Gromov-Witten theory, Kontsevich’s theory, Lichnerowicz differential, n-Lie algebras, Nambu-Poisson bracket, Poisson manifold, Quantization, vertex algebras

BibTeX entry
BibTeX does not have the right entry for preprints. This is a hack for producing the correct reference:
  author = {Valerii Sopin},
  title = {Quantum Lichnerowicz – Poisson Complex},
  howpublished = {EasyChair Preprint no. 8843},

  year = {EasyChair, 2022}}
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