Separated Lie models and the homotopy Lie algebra
Peter Bubenik
Abstract
A simply connected topological space X has homotopy Lie algebra π*( X) . 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.
Create a lesson
Related papers
The Becker--Gottlieb transfer is not functorial: An example based on units of group rings
Georg Lehner, Cary Malkiewich, Florian Naef
The Becker-Gottlieb transfer is not functorial: An example using C∞-algebras
Florian Naef, Robin Stoll
Integral trace duality and the Witt filtration on Lubin--Tate space
Andrea Taccani
Persistence diagrams of finite topological spaces
Akhilesh Badra, Hemant Kumar Singh
Equivariant formality for rational pk-spaces
Rekha Santhanam, Bittu Singh, Soumyadip Thandar
Koszul Duality in an Equivariant Context
Sofía Martínez Alberga