[書籍][B] Lie models in topology
Rational homotopy theory is a branch of topology which studies the “non-torsion” behaviour
of the homotopy type of topological spaces. This area was born about fifty years ago in …
of the homotopy type of topological spaces. This area was born about fifty years ago in …
An explicit symmetric DGLA model of a triangle
We give explicit formulae for a differential graded Lie algebra (DGLA) model of the triangle
which is symmetric under the geometric symmetries of the cell. This follows the work of …
which is symmetric under the geometric symmetries of the cell. This follows the work of …
Symmetric Lie models of a triangle
R. Lawrence and D. Sullivan have constructed a Lie model for an interval from the
geometrical idea of flat connections and flows of gauge transformations. Their model …
geometrical idea of flat connections and flows of gauge transformations. Their model …
Explicit symmetric DGLA models of 3-cells
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 …
particular, for a cube and an-faceted banana-shaped-cell with two vertices, edges each …
Universal averages in gauge actions
R Lawrence, M Siboni - arxiv preprint arxiv:1911.03907, 2019 - arxiv.org
We give a construction of a universal average of Lie algebra elements whose
exponentiation gives (when there is an associated Lie group) a totally symmetric geometric …
exponentiation gives (when there is an associated Lie group) a totally symmetric geometric …
[PDF][PDF] HIGHER
I Griniasty, R Lawrence - 2019 - higher-structures.math.cas.cz
We give explicit formulae for a differential graded Lie algebra (DGLA) model of the triangle
which is symmetric under the geometric symmetries of the cell. This follows the work of …
which is symmetric under the geometric symmetries of the cell. This follows the work of …