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arXiv · 1604.01478

Higher order Whitehead products and $L_\infty$ structures on the homology of a DGL

Francisco Belchí·Urtzi Buijs·José M. Moreno-Fernández·Aniceto Murillo
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Abstract

We detect higher order Whitehead products on the homology $H$ of a differential graded Lie algebra $L$ in terms of higher brackets in the transferred $L_\infty$ structure on $H$ via a given homotopy retraction of $L$ onto $H$.

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Francisco Belchí, Urtzi Buijs, José M. Moreno-Fernández, Aniceto Murillo. 2016-04-06. Higher order Whitehead products and $L_\infty$ structures on the homology of a DGL. https://doi.org/10.1016/j.laa.2017.01.008

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