Nikolaus, Thomas and Sachse, Christoph and Wockel, Christoph (2013) A Smooth Model for the String Group. INTERNATIONAL MATHEMATICS RESEARCH NOTICES (16). pp. 3678-3721. ISSN 1073-7928,
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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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | DIMENSIONAL LIE-GROUPS; NON-ABELIAN EXTENSIONS; L-INFINITY-ALGEBRAS; UNIVERSAL COMPLEXIFICATIONS; PRINCIPAL BUNDLES; 2-GROUPS; STACKS; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 28 Apr 2020 13:17 |
| Last Modified: | 28 Apr 2020 13:17 |
| URI: | https://pred.uni-regensburg.de/id/eprint/17379 |
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