Geodesic
The Lawrence–Sullivan construction is the right model for I+
Buijs, Urtzi1 ; Murillo, Aniceto2
1Institut de Mathématique, Université Catholique de Louvain, B-1348 Louvain-la-Neuve, Belgium
2Departmento de Álgebra Geometría y Topología, Universidad de Málaga, Apartado 59, 29080 Málaga, Spain
Algebraic and Geometric Topology, Tome 13 (2013) no. 1, pp. 577-588
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We prove that the universal enveloping algebra of the Lawrence–Sullivan construction is a particular perturbation of the complete Baues–Lemaire cylinder of S0. Together with other evidence we present, this exhibits the Lawrence–Sullivan construction as the right model for I+. From this, we also deduce a generalized Euler formula on Bernoulli numbers.

DOI : 10.2140/agt.2013.13.577
Classification : 11B68, 55P62
Keywords: Lawrence–Sullivan model, DGL cylinder, DGA cylinder, rational homotopy theory, Euler identity

Buijs, Urtzi  1   ; Murillo, Aniceto  2

1 Institut de Mathématique, Université Catholique de Louvain, B-1348 Louvain-la-Neuve, Belgium
2 Departmento de Álgebra Geometría y Topología, Universidad de Málaga, Apartado 59, 29080 Málaga, Spain 
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Buijs, Urtzi; Murillo, Aniceto. The Lawrence–Sullivan construction is the right model for I+. Algebraic and Geometric Topology, Tome 13 (2013) no. 1, pp. 577-588. doi: 10.2140/agt.2013.13.577

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