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arXiv · 1104.4288

A Smooth Model for the String Group

Thomas Nikolaus·Christoph Sachse·Christoph Wockel
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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.

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Thomas Nikolaus, Christoph Sachse, Christoph Wockel. 2012-05-21. A Smooth Model for the String Group. https://doi.org/10.1093/imrn%2Frns154

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