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

Buijs, Urtzi; Murillo, Aniceto

doi:10.2140/agt.2013.13.577

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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

DOI: 10.2140/agt.2013.13.577

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

References

Publication

Received: 19 March 2012

Revised: 16 October 2012

Accepted: 16 October 2012

Published: 23 March 2013

Authors

Urtzi Buijs
Institut de Mathématique Université Catholique de Louvain B-1348 Louvain-la-Neuve Belgium

Aniceto Murillo
Departmento de Álgebra Geometría y Topología Universidad de Málaga Apartado 59 29080 Málaga Spain

Volume 13, issue 1 (2013)