Document Type

Article

Publication Date

2-1-2007

Publication Title

Journal of Pure and Applied Algebra

Abstract

Abstract. A simply connected topological space X has homotopy Lie algebra π∗(ΩX) ⊗ Q. Following Quillen, there is a connected differential graded free Lie algebra (dgL) called a Lie model, which determines the rational homotopy type of X, and whose homology is isomorphic to the homotopy Lie algebra. We show that such a Lie model can be replaced with one that has a special property we call separated. The homology of a separated dgL has a particular form which lends itself to calculations. 1.

Version

Postprint

Creative Commons License

Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.

Volume

212

Issue

2

Included in

Mathematics Commons

Share

COinS