String connections and Chern-Simons theory

  title={String connections and Chern-Simons theory},
  author={Konrad Waldorf},
  journal={Transactions of the American Mathematical Society},
  • 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

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