A Smooth Model for the String Group
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.
- Publication:
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arXiv e-prints
- Pub Date:
- April 2011
- DOI:
- 10.48550/arXiv.1104.4288
- arXiv:
- arXiv:1104.4288
- Bibcode:
- 2011arXiv1104.4288N
- Keywords:
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- Mathematics - Algebraic Topology;
- Mathematics - Differential Geometry
- E-Print:
- 32 pages