# L ∞ -Algebra Connections and Applications to String- and Chern-Simons n-Transport

@article{Sati2009L,
title={L ∞ -Algebra Connections and Applications to String- and Chern-Simons n-Transport},
author={Hisham Sati and Urs Schreiber and Jim Stasheff},
journal={arXiv: Differential Geometry},
year={2009},
pages={303-424}
}
• Published 23 January 2008
• Mathematics
• arXiv: Differential Geometry
We give a generalization of the notion of a Cartan-Ehresmann connection from Lie algebras to L ∞-algebras and use it to study the obstruction theory of lifts through higher String-like extensions of Lie algebras. We find (generalized) Chern-Simons and BF-theory functionals this way and describe aspects of their parallel transport and quantization.
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