A Smooth Model for the String Group

Details A Smooth Model for the String Group A Smooth Model for the String Group

2011-04-21

arxiv.org/abs/1104.4288v3

Mathematics

Algebraic Topology

31 pages, uniqueness result for 2-group models added (Theorem 6.5), typo in title corrected

Scientific paper

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.

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