∞-Lie theory (higher geometry)
Background
Smooth structure
Higher groupoids
Lie theory
∞-Lie groupoids
∞-Lie algebroids
Formal Lie groupoids
Cohomology
Homotopy
Related topics
Examples
-Lie groupoids
-Lie groups
-Lie algebroids
-Lie algebras
symmetric monoidal (∞,1)-category of spectra
The -operad is a cofibrant resolution of the Lie operad in the model structure on operads in the category of chain complexes.
Its algebras over an operad are L-infinity algebras.
Discussion as an operad in chain complexes:
Original articles include
Review includes
See also
Discussion as an operad in spectra (in stable homotopy theory) is in
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 06:48:39. See the history of this page for a list of all contributions to it.