#### Volume 13, issue 1 (2013)

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The Lawrence–Sullivan construction is the right model for $I^+$

### Urtzi Buijs and Aniceto Murillo

Algebraic & Geometric Topology 13 (2013) 577–588
##### Abstract

We prove that the universal enveloping algebra of the Lawrence–Sullivan construction is a particular perturbation of the complete Baues–Lemaire cylinder of ${S}^{0}$. 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.

##### Keywords
Lawrence–Sullivan model, DGL cylinder, DGA cylinder, rational homotopy theory, Euler identity
##### Mathematical Subject Classification 2010
Primary: 11B68, 55P62