A Construction of String 2-Group Models using a Transgression-Regression Technique

@article{Waldorf2012ACO,
  title={A Construction of String 2-Group Models using a Transgression-Regression Technique},
  author={Konrad Waldorf},
  journal={arXiv: Differential Geometry},
  year={2012}
}
  • K. Waldorf
  • Published 24 January 2012
  • Mathematics
  • arXiv: Differential Geometry
In this note we present a new construction of the string group that ends optionally in two different contexts: strict diffeological 2-groups or finite-dimensional Lie 2-groups. It is canonical in the sense that no choices are involved; all the data is written down and can be looked up (at least somewhere). The basis of our construction is the basic gerbe of Gawedzki-Reis and Meinrenken. The main new insight is that under a transgression-regression procedure, the basic gerbe picks up a… 
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