A Loop Space Formulation for Geometric Lifting Problems

  title={A Loop Space Formulation for Geometric Lifting Problems},
  author={Konrad Waldorf},
  journal={arXiv: Differential Geometry},
  • Konrad Waldorf
  • Published 2010
  • Mathematics
  • arXiv: Differential Geometry
  • We review and then combine two aspects of the theory of bundle gerbes. The first concerns lifting bundle gerbes and connections on those, developed by Murray and Gomi. Lifting gerbes represent obstructions against extending the structure group of a principal bundle. The second is the transgression of gerbes to loop spaces, initiated by Brylinski and McLaughlin and with recent contributions of the author. Combining these two aspects, we obtain a new formulation of lifting problems in terms of… CONTINUE READING