L_infinity algebras as 1-jets of simplicial manifolds (and a bit beyond)

Details L_infinity algebras as 1-jets of simplicial manifolds (and a bit beyond) L_infinity algebras as 1-jets of simplicial manifolds (and a bit beyond)

2006-12-13

arxiv.org/abs/math/0612349v1

Mathematics

Differential Geometry

13 pages, 3 figures

Scientific paper

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.

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