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

Aniceto Murillo; Francisco Belch\'i; Jos\'e M. Moreno-Fern\'andez; Urtzi Buijs

arxiv: 1604.01478 · v2 · pith:IUFRCJIFnew · submitted 2016-04-06 · 🧮 math.AT

Higher order Whitehead products and L_infty structures on the homology of a DGL

Francisco Belch\'i , Urtzi Buijs , Jos\'e M. Moreno-Fern\'andez , Aniceto Murillo This is my paper

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keywords higherhomologyinftyorderproductswhiteheadalgebrabrackets

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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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Higher order Whitehead products and L_infty structures on the homology of a DGL

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