• Corpus ID: 119703604

# 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}
}
• Published 29 August 2018
• Mathematics
• arXiv: Differential Geometry
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…
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