A-infinity algebras as first approximation

We shall discuss how L-infinity algebras (or rather dg-manifolds) arise from Kan simplicial manifolds, and more generally, from presheaves on the category of surjective submersions. This is a straightforward generalization of the procedure Lie groups --> Lie algebras. It is done by restricting the presheaves to submersions with the odd line as the fibre. We shall also discuss what happens if one allows the odd plane etc. as the fibre.

P. Severa, homepage