1999/04/25 by Albert Schwarz
Physics and Astronomy · #hep-th
published as Lett.Math.Phys. 49 (1999) 115-122 · 10 pages
arxiv created 1999/04/25 · arxiv updated 2009/11/30
Let us consider a Lie (super)algebra G spanned by Tα where Tα are quantum observables in BV-formalism. It is proved that for every tensor cα1...αk that determines a homology class of the Lie algebra G the expression cα1...αkTα1...Tαk is again a quantum observables. This theorem is used to construct quantum observables in BV sigma-model. We apply this construction to explain Kontsevich's results about the relation between homology of the Lie algebra of Hamiltonian vector fields and topological invariants of manifolds.