Properadic Homotopical Calculus
| Autor: | Bruno Vallette, Johan Leray, Eric Hoffbeck |
|---|---|
| Přispěvatelé: | Laboratoire Analyse, Géométrie et Applications (LAGA), Université Paris 8 Vincennes-Saint-Denis (UP8)-Centre National de la Recherche Scientifique (CNRS)-Institut Galilée-Université Paris 13 (UP13), Laboratoire Angevin de Recherche en Mathématiques (LAREMA), Université d'Angers (UA)-Centre National de la Recherche Scientifique (CNRS), Laboratoire Jean Alexandre Dieudonné (JAD), Université Nice Sophia Antipolis (... - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS), Institut universitaire de France, DIM Math Innov – Région Île de France, ANR-16-CE40-0003,ChroK,Homotopie chromatique et K-théorie(2016) |
| Rok vydání: | 2020 |
| Předmět: |
General Mathematics
Mathematics::Algebraic Topology 01 natural sciences Mathematics::K-Theory and Homology Mathematics::Quantum Algebra Mathematics::Category Theory Mathematics - Quantum Algebra 0103 physical sciences FOS: Mathematics Calculus medicine Quantum Algebra (math.QA) Category Theory (math.CT) [MATH]Mathematics [math] 0101 mathematics Calculus (medicine) 18D50 18G55 16T10 17B62 [MATH.MATH-CT]Mathematics [math]/Category Theory [math.CT] Mathematics Series (mathematics) Homotopy 010102 general mathematics Mathematics - Category Theory medicine.disease Transfer (group theory) [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA] 010307 mathematical physics |
| Zdroj: | International Mathematics Research Notices. 2021:3866-3926 |
| ISSN: | 1687-0247 1073-7928 |
| Popis: | 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. Submitted version |
| Databáze: | OpenAIRE |
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