Geodesic
Explicit symmetric DGLA models of 3-cells
Canadian mathematical bulletin, Tome 64 (2021) no. 2, pp. 368-382

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DOI

We give explicit formulae for differential graded Lie algebra (DGLA) models of $3$-cells. In particular, for a cube and an $n$-faceted banana-shaped $3$-cell with two vertices, $n$ edges each joining those two vertices, and $n$ bi-gon $2$-cells, we construct a model symmetric under the geometric symmetries of the cell fixing two antipodal vertices. The cube model is to be used in forthcoming work for discrete analogues of differential geometry on cubulated manifolds.
DOI : 10.4153/S0008439520000508
Mots-clés : DGLA, Maurer–Cartan, Baker–Campbell–Hausdorff formula 
Griniasty, Itay; Lawrence, Ruth. Explicit symmetric DGLA models of 3-cells. Canadian mathematical bulletin, Tome 64 (2021) no. 2, pp. 368-382. doi: 10.4153/S0008439520000508
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     author = {Griniasty, Itay and Lawrence, Ruth},
     title = {Explicit symmetric {DGLA} models of 3-cells},
     journal = {Canadian mathematical bulletin},
     pages = {368--382},
     year = {2021},
     volume = {64},
     number = {2},
     doi = {10.4153/S0008439520000508},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439520000508/}
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