Separated Lie models and the homotopy Lie algebra
| dc.creator | Bubenik, Peter | |
| dc.date | 2004-06-21 | |
| dc.date | 2007-05-07 | |
| dc.date.accessioned | 2026-07-07T08:45:28Z | |
| dc.date.available | 2026-07-07T08:45:28Z | |
| dc.description | A simply connected topological space X has homotopy Lie algebra $π_*(ΩX) \tensor \Q$. 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. | |
| dc.description | Final version. To appear in the Journal of Pure and Applied Algebra. Added connections to the radical of the homotopy Lie algebra and the Avramov-Felix conjecture. Added examples of wedges of spheres of any "thickness" and connected sums of products of spheres. 15 pages | |
| dc.identifier | https://arxiv.org/abs/math/0406405 | |
| dc.identifier | http://arxiv.org/abs/math/0406405 | |
| dc.identifier | J. Pure and Appl. Algebra, 212 (2008), no.2, 401--410 | |
| dc.identifier | doi:10.1016/j.jpaa.2007.05.018 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/142976 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55P62; 17B55 | |
| dc.title | Separated Lie models and the homotopy Lie algebra | |
| dc.type | text |