Homotopy algebras and the inverse of the normalization functor |
| |
Authors: | Birgit Richter |
| |
Affiliation: | Fachbereich Mathematik der Universität Hamburg, Bundesstrasse 55, 20146 Hamburg, Germany |
| |
Abstract: | In this paper, we investigate multiplicative properties of the classical Dold-Kan correspondence. The inverse of the normalization functor maps commutative differential graded algebras to E∞-algebras. We prove that it in fact sends algebras over arbitrary differential graded E∞-operads to E∞-algebras in simplicial modules and is part of a Quillen adjunction. More generally, this inverse maps homotopy algebras to weak homotopy algebras. We prove the corresponding dual results for algebras under the conormalization, and for coalgebra structures under the normalization resp. the inverse of the conormalization. |
| |
Keywords: | Primary 18D50 18G55 secondary 55U15 13D03 |
本文献已被 ScienceDirect 等数据库收录! |
|