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A Smooth Model for the String Group

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.

preprint2012arXivOpen access
Thomas NikolausChristoph SachseChristoph Wockel
math.ATmath.DG
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Thomas NikolausChristoph SachseChristoph Wockel

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