The Lawrence-Sullivan construction is the right model of I+I^+

preprint2012arXivOpen access

Abstract

We prove that the universal enveloping algebra of the Lawrence-Sullivan construction is a particular perturbation of the complete Baues-Lemaire cylinder of S0S^0. Together with other evidences we present, this exhibits the Lawrence-Sullivan construction as the right model of I+I^+. From this, we also deduce a generalized Euler formula on Bernoulli numbers.

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