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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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https://hal.archives-ouvertes.fr/hal-02378816
Contributor : Bruno Vallette <>
Submitted on : Monday, November 25, 2019 - 1:39:23 PM
Last modification on : Tuesday, October 20, 2020 - 3:56:22 PM

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  • HAL Id : hal-02378816, version 1
  • ARXIV : 1910.05027

Citation

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

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