Explicit symmetric DGLA models of 3-cells

Itay Griniasty; Ruth Lawrence

doi:10.4153/S0008439520000508

Explicit symmetric DGLA models of 3-cells

Itay Griniasty, Ruth Lawrence

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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.

Original language	American English
Pages (from-to)	368-382
Number of pages	15
Journal	Canadian Mathematical Bulletin
Volume	64
Issue number	2
DOIs	https://doi.org/10.4153/S0008439520000508
State	Published - Jun 2021

Bibliographical note

Funding Information:
Received by the editors February 27, 2020. Published online on Cambridge Core July 1, 2020. is research was supported in part by Grant No. 2016219. from the United States-Israel Binational Science Foundation (BSF). Griniasty is grateful to the Azrieli Foundation for the award of an Azrieli Fellowship. AMS subject classification: 17B55, 17B01, 55U15. Keywords: DGLA, Maurer–Cartan, Baker–Campbell–Hausdorff formula.

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Keywords

AMS subject classification 17B55 17B01 55U15

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abstract = "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.",

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N1 - Funding Information: Received by the editors February 27, 2020. Published online on Cambridge Core July 1, 2020. is research was supported in part by Grant No. 2016219. from the United States-Israel Binational Science Foundation (BSF). Griniasty is grateful to the Azrieli Foundation for the award of an Azrieli Fellowship. AMS subject classification: 17B55, 17B01, 55U15. Keywords: DGLA, Maurer–Cartan, Baker–Campbell–Hausdorff formula. Publisher Copyright: ©

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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.

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Explicit symmetric DGLA models of 3-cells

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