Quantum Lichnerowicz – Poisson Complex

EasyChair Preprint 8843

Abstract

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, Gromov-Witten theory, Kontsevich’s theory, Lichnerowicz differential, Nambu-Poisson bracket, Poisson manifold, Quantization, cohomologies, n-Lie algebras, vertex algebras

@booklet{EasyChair:8843,
  author    = {Valerii Sopin},
  title     = {Quantum Lichnerowicz – Poisson Complex},
  howpublished = {EasyChair Preprint 8843},
  year      = {EasyChair, 2022}}