Skip to Main content Skip to Navigation
New interface
Preprints, Working Papers, ...

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.
Complete list of metadata
Contributor : Bruno Vallette Connect in order to contact the contributor
Submitted on : Monday, November 25, 2019 - 1:39:23 PM
Last modification on : Thursday, August 4, 2022 - 5:05:37 PM

Links full text


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


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



Record views