TY - JOUR
T1 - Explicit symmetric DGLA models of 3-cells
AU - Griniasty, Itay
AU - Lawrence, Ruth
N1 - Publisher Copyright:
©
PY - 2021/6
Y1 - 2021/6
N2 - We give explicit formulae for differential graded Lie algebra (DGLA) models of -cells. In particular, for a cube and an -faceted banana-shaped -cell with two vertices, edges each joining those two vertices, and bi-gon -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.
AB - We give explicit formulae for differential graded Lie algebra (DGLA) models of -cells. In particular, for a cube and an -faceted banana-shaped -cell with two vertices, edges each joining those two vertices, and bi-gon -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.
KW - AMS subject classification 17B55 17B01 55U15
UR - http://www.scopus.com/inward/record.url?scp=85105453832&partnerID=8YFLogxK
U2 - 10.4153/S0008439520000508
DO - 10.4153/S0008439520000508
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AN - SCOPUS:85105453832
SN - 0008-4395
VL - 64
SP - 368
EP - 382
JO - Canadian Mathematical Bulletin
JF - Canadian Mathematical Bulletin
IS - 2
ER -