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- W2523201643 abstract "In a previous work, we have associated a complete differential graded Lie algebra to any finite simplicial complex in a functorial way. Similarly, we have also a realization functor from the category of complete differential graded Lie algebras to the category of simplicial sets. We have already interpreted the homology of a Lie algebra in terms of homotopy groups of its realization. In this paper, we begin a dictionary between models and simplicial complexes by establishing a correspondence between the Deligne groupoid of the model and the connected components of the finite simplicial complex." @default.
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- W2523201643 date "2016-06-28" @default.
- W2523201643 modified "2023-09-27" @default.
- W2523201643 title "Maurer-Cartan elements in the Lie models of finite simplicial complexes" @default.
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