On a Batalin–Vilkovisky operator generating higher Koszul brackets on differential forms
@article{Shemyakova2021OnAB, title={On a Batalin–Vilkovisky operator generating higher Koszul brackets on differential forms}, author={Ekaterina Shemyakova}, journal={Letters in Mathematical Physics}, year={2021}, volume={111}, pages={1-30} }
We introduce a formal $$\hbar $$
-differential operator $$\Delta $$
that generates higher Koszul brackets on the algebra of (pseudo)differential forms on a $$P_{\infty }$$
-manifold. Such an operator was first mentioned by Khudaverdian and Voronov in arXiv:1808.10049. (This operator is an analogue of the Koszul–Brylinski boundary operator $$\partial _P$$
which defines Poisson homology for an ordinary Poisson structure.) Here, we introduce $$\Delta =\Delta _P$$
by a different method and…
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