Homology, Homotopy and Applications

Volume 17 (2015)

Number 1

Comparing commutative and associative unbounded differential graded algebras over $\mathbb{Q}$ from a homotopical point of view

Pages: 191 – 201

DOI: https://dx.doi.org/10.4310/HHA.2015.v17.n1.a9

Author

Ilias Amrani (Department of Mathematics, Masaryk University, Kotlarska 2, Brno, Czech Republic)

Abstract

In this paper we establish a faithfulness result, in a homotopical sense, between a subcategory of the model category of augmented differential graded commutative algebras CDGA and a subcategory of the model category of augmented differential graded algebras DGA over the field of rational numbers $\mathbb{Q}$.

Keywords

DGA, CDGA, mapping space, rational homotopy theory, derived algebraic geometry

2010 Mathematics Subject Classification

Primary 55-xx. Secondary 14-xx, 16-xx, 18-xx.

Published 18 May 2015