# Thick morphisms, higher Koszul brackets, and $L_{\infty}$-algebroids

@article{Khudaverdian2018ThickMH, title={Thick morphisms, higher Koszul brackets, and \$L\_\{\infty\}\$-algebroids}, author={Hovhannes M. Khudaverdian and Theodore Th. Voronov}, journal={arXiv: Differential Geometry}, year={2018} }

It is a classical fact in Poisson geometry that the cotangent bundle of a Poisson manifold has the structure of a Lie algebroid. Manifestations of this structure are the Lichnerowicz differential on multivector fields (calculating Poisson cohomology) and the Koszul bracket of differential forms. "Raising indices" by the Poisson tensor maps the de Rham differential to the Lichnerowicz differential and the Koszul bracket to the Schouten bracket. In this paper, we present a homotopy analog of the…

## 7 Citations

Shifted Derived Poisson Manifolds Associated with Lie Pairs

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In 2014, Voronov introduced the notion of thick morphisms of (super)manifolds as a tool for constructing $L_{\infty}$-morphisms of homotopy Poisson algebras. Thick morphisms generalise ordinary…

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Microformal Geometry and Homotopy Algebras

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