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Formality criteria in terms of higher Whitehead brackets by Buijs, Urtzi; Moreno-Fernández, José M. is a scholarly article available to read on EtoBox.

What is Formality criteria in terms of higher Whitehead brackets about?

We provide two criteria for discarding the formality of a differential graded Lie algebra in terms of higher Whitehead brackets, which are the Lie analogue of the Massey products of a differential graded associative algebra. We also show that formality of a differential graded Lie algebra is not equivalent to the collapse of the Quillen spectral sequence. Finally, we use $L_\infty$ algebras and Quillen's formulation of rational homotopy theory to recover and improve a classical theorem for detecting higher Whitehead products in Sullivan minimal models and give some applications.

Author

Buijs, Urtzi; Moreno-Fernández, José M.

Published

2019

Language

EN