A Construction of String 2Group Models using a TransgressionRegression Technique
Abstract
In this note we present a new construction of the string group that ends optionally in two different contexts: strict diffeological 2groups or finitedimensional Lie 2groups. 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 GawedzkiReis and Meinrenken. The main new insight is that under a transgressionregression procedure, the basic gerbe picks up a multiplicative structure coming from the Mickelsson product over the loop group. The conclusion of the construction is a relation between multiplicative gerbes and 2group extensions for which we use recent work of SchommerPries.
 Publication:

arXiv eprints
 Pub Date:
 January 2012
 DOI:
 10.48550/arXiv.1201.5052
 arXiv:
 arXiv:1201.5052
 Bibcode:
 2012arXiv1201.5052W
 Keywords:

 Mathematics  Differential Geometry;
 Mathematics  Algebraic Topology;
 22E67 (Primary) 53C08;
 81T30;
 58H05 (Secondary)
 EPrint:
 25 pages