# String connections and Chern-Simons theory

@article{Waldorf2009StringCA,
title={String connections and Chern-Simons theory},
journal={Transactions of the American Mathematical Society},
year={2009},
volume={365},
pages={4393-4432}
}
• K. Waldorf
• Published 30 May 2009
• Mathematics
• Transactions of the American Mathematical Society
We present a finite-dimensional and smooth formulation of string structures on spin bundles. It uses trivializations of the Chern-Simons 2-gerbe associated to this bundle. Our formulation is particularly suitable to deal with string connections: it enables us to prove that every string structure admits a string connection and that the possible choices form an affine space. Further we discover a new relation between string connections, 3-forms on the base manifold, and degree three differential… Expand
63 Citations

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