Separated Lie models and the homotopy Lie algebra

Details Separated Lie models and the homotopy Lie algebra Separated Lie models and the homotopy Lie algebra

2004-06-21

arxiv.org/abs/math/0406405v3

J. Pure and Appl. Algebra, 212 (2008), no.2, 401--410

Mathematics

Algebraic Topology

Final version. To appear in the Journal of Pure and Applied Algebra. Added connections to the radical of the homotopy Lie alge

Scientific paper

10.1016/j.jpaa.2007.05.018

A simply connected topological space X has homotopy Lie algebra $\pi_*(\Omega X) \tensor \Q$. 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.

Affiliated with

Also associated with

No associations

Rating

Separated Lie models and the homotopy Lie algebra does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Separated Lie models and the homotopy Lie algebra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Separated Lie models and the homotopy Lie algebra will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-57612