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arXiv · 2107.07162

Quantum Lichnerowicz - Poisson complex

Valerii Sopin
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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.

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Valerii Sopin. 2021-07-15. Quantum Lichnerowicz - Poisson complex. https://arxiv.org/abs/2107.07162

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