A Smooth Model for the String Group
Algebraic Topology
2014-01-08 v4 Differential Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.1104.4288,
title = {A Smooth Model for the String Group},
author = {Thomas Nikolaus and Christoph Sachse and Christoph Wockel},
journal= {arXiv preprint arXiv:1104.4288},
year = {2014}
}
Comments
32 pages; v2: uniqueness result for 2-group models added (Th. 6.5), typo in title corrected; v3: construction of basic PU(H)-bundle discussed (Rem. 3.9), final version to appear in IMRN