Quantum Lichnerowicz - Poisson complex
Quantum Algebra
2021-08-17 v2 Mathematical Physics
Algebraic Geometry
Complex Variables
Dynamical Systems
math.MP
Symplectic Geometry
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. Keywords: Poisson manifold, Lichnerowicz differential, Chiral de Rham complex, cohomologies, vertex algebras, deformation theory, Nambu-Poisson bracket, n-Lie algebras, Gromov-Witten theory.
Cite
@article{arxiv.2107.07162,
title = {Quantum Lichnerowicz - Poisson complex},
author = {Valerii Sopin},
journal= {arXiv preprint arXiv:2107.07162},
year = {2021}
}