Contents

## Examples

### $\infty$-Lie algebras

#### Higher algebra

higher algebra

universal algebra

# Contents

## Idea

The $L_\infty$-operad is a cofibrant resolution of the Lie operad in the model structure on operads in the category of chain complexes.

## References

### In chain complexes

Discussion as an operad in chain complexes:

Original articles include

Review includes

• Jeroen Maes, around Def. 5.6.4 of Derived homotopy algebras, PhD thesis 2016 (web)

### In spectra

Discussion as an operad in spectra (in stable homotopy theory) is in

• Gijs Heuts, around def. 4.12 of Lie algebras and $v_n$-periodic spaces (arXiv:1803.06325)

based on

• Michael Ching, Bar constructions for topological operads and the Goodwillie derivatives of the identity, Geom. Topol. , 9:833–933, 2005 (arXiv:math/0501429)

• Michael Ching, Bar-cobar duality for operads in stable homotopy theory, Journal of Topology, 2012 (arXiv:1009.5034)

Last revised on August 30, 2018 at 02:48:39. See the history of this page for a list of all contributions to it.