We gratefully acknowledge support from
the Simons Foundation and member institutions.
Full-text links:

Download:

Current browse context:

math.QA
< prev | next >
new | recent | 2107

Change to browse by:

math
math-ph
math.AG
math.CV
math.DS
math.SG

References & Citations

Bookmark

(what is this?)
CiteULike logo BibSonomy logo Mendeley logo del.icio.us logo Digg logo Reddit logo

Mathematics > Quantum Algebra

Title: Quantum Lichnerowicz - Poisson complex

Authors: Valerii Sopin
(Submitted on 15 Jul 2021 (v1), last revised 15 Aug 2021 (this version, v2))
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.
Subjects: Quantum Algebra (math.QA); Mathematical Physics (math-ph); Algebraic Geometry (math.AG); Complex Variables (math.CV); Dynamical Systems (math.DS); Symplectic Geometry (math.SG)
MSC classes: 53D17, 53D45, 14F25
Cite as: arXiv:2107.07162 [math.QA]
  (or arXiv:2107.07162v2 [math.QA] for this version)

Submission history

From: Valerii Sopin [view email]
[v1] Thu, 15 Jul 2021 07:21:50 GMT (9kb)
[v2] Sun, 15 Aug 2021 10:19:17 GMT (10kb)
Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)

Link back to: arXiv, form interface, contact.