A Smooth Model for the String Group

作者:Nikolaus Thomas; Sachse Christoph; Wockel Christoph*
来源:International Mathematics Research Notices, 2013, 2013(16): 3678-3721.
DOI:10.1093/imrn/rns154

摘要

We construct a model for the string group as an infinite-dimensional Lie group. In a second step, we extend this model by a contractible Lie group to a Lie 2-group model. To this end, we need to establish some facts on the homotopy theory of Lie 2-groups. Moreover, we provide an explicit comparison of string structures for the two models and a uniqueness result for Lie 2-group models.

  • 出版日期2013