# L-infinity bialgebroids and homotopy Poisson structures on supermanifolds

@article{Voronov2019LinfinityBA, title={L-infinity bialgebroids and homotopy Poisson structures on supermanifolds}, author={Theodore Th. Voronov}, journal={arXiv: Differential Geometry}, year={2019} }

We generalize to the homotopy case a result of K. Mackenzie and P. Xu on relation between Lie bialgebroids and Poisson geometry. For a homotopy Poisson structure on a supermanifold $M$, we show that $(TM, T^*M)$ has a canonical structure of an $L_{\infty}$-bialgebroid. (Higher Koszul brackets on forms introduced earlier by H. Khudaverdian and the author are part of one of its manifestations.) The underlying general construction is that of a "(quasi)triangular" $L_{\infty}$-bialgebroid, which is…

## 3 Citations

On a Batalin–Vilkovisky operator generating higher Koszul brackets on differential forms

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We introduce a formal $$\hbar $$
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Abstract
We construct a class of topological field theories with Wess-Zumino term in spacetime dimensions ≥ 2 whose target space has a geometrical structure that suitably generalizes Poisson or…

Twisted R-Poisson Sigma Models

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- 2022

The AKSZ construction was developed as a geometrical formalism to ﬁnd the solution to the classical master equation in the BV quantization of topological branes based on the concept of QP manifolds.…

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