Properadic homotopical calculus

Abstract : In this paper, we initiate the generalisation of the operadic calculus which governs the properties of homotopy algebras to a properadic calculus which governs the properties of homotopy gebras over a properad. In this first article of a series, we generalise the seminal notion of infini-morphisms and the ubiquitous homotopy transfer theorem. As an application, we recover the homotopy properties of involutive Lie bialgebras developed by Cieliebak--Fukaya--Latschev and we produce new explicit formulas.
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Contributor : Bruno Vallette <>
Submitted on : Monday, November 25, 2019 - 1:39:23 PM
Last modification on : Wednesday, November 27, 2019 - 1:41:45 AM

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Eric Hoffbeck, Johan Leray, Bruno Vallette. Properadic homotopical calculus. 2019. ⟨hal-02378816⟩



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