L_infinity algebras as 1-jets of simplicial manifolds (and a bit beyond)
Differential Geometry
2007-05-23 v1
Abstract
The procedure "Lie group --> Lie algebra" has a generalization "simplicial manifold --> L_infinity algebra", or yet better, "presheaf on the category of surjective submersions --> L_infinity algebra". We describe this generalization, together with its higher-order extensions.
Keywords
Cite
@article{arxiv.math/0612349,
title = {L_infinity algebras as 1-jets of simplicial manifolds (and a bit beyond)},
author = {Pavol Severa},
journal= {arXiv preprint arXiv:math/0612349},
year = {2007}
}
Comments
13 pages, 3 figures