The general linear 2-groupoid
| Autor: | del Hoyo, Matias, Stefani, Davide |
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| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | Pacific J. Math. 298 (2019) 33-57 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.2140/pjm.2019.298.33 |
| Popis: | We deal with the symmetries of a (2-term) graded vector space or bundle. Our first theorem shows that they define a (strict) Lie 2-groupoid in a natural way. Our second theorem explores the construction of nerves for Lie 2-categories, showing that it yields simplicial manifolds if the 2-cells are invertible. Finally, our third and main theorem shows that smooth pseudofunctors into our general linear 2-groupoid classify 2-term representations up to homotopy of Lie groupoids. Comment: 20 pages, updated version, an error on Proposition 5.4 pointed out by C. Zhu was fixed, Remark 5.6 was improved, some typos were corrected |
| Databáze: | arXiv |
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