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arXiv:2311.15256 [math.AT]AbstractReferencesReviewsResources

On the $L_{\infty}$-bialgebra structure of the rational homotopy groups $π_{*}(ΩΣY)\otimes \mathbb{Q}$

Samson Saneblidze

Published 2023-11-26Version 1

We introduce the notion of an $L_{\infty}$-bialgebra structure on a vector space. We show that the rational homotopy groups $\pi_{*}(\Omega \Sigma Y)\otimes \mathbb{Q}$ admit such a structure for the loop space $\Omega \Sigma Y$ of a suspension $\Sigma Y$ that characterizes $Y$ up to rational homotopy equivalence.

Comments: 7 pages
Categories: math.AT
Subjects: 55P35, 55S05
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