(en) Abstract: We describe the rational homotopy type of Thom spaces and use this information to create a Quillen Lie-model in the case of the tangent bundle of a closed, oriented, simply-connected manifold. Examples are given.
Félix, Y., Oprea, J., & Daniel, T. (2016). Lie model for Thom spaces of tangent bundles. Proceedings of the American Mathematical Society, 144, 1829-1840. https://doi.org/10.1090/proc/12829 (Original work published 2016)