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

Published 6 Apr 2016 in math.AT | (1604.01478v2)

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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