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

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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.
13 pages, 3 figures

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Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/102327

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0612349
 http://arxiv.org/abs/math/0612349

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arXiv