The Freed--Quinn line bundle from higher geometry
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912644196204544 |
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| author | Berwick-Evans, Daniel Cliff, Emily Murray, Laura |
| author_facet | Berwick-Evans, Daniel Cliff, Emily Murray, Laura |
| contents | For a finite group $G$, and level $α\in Z^3(BG;{\rm U}(1))$, Freed and Quinn construct a line bundle over the moduli space of $G$-bundles on surfaces. Global sections determine the values of Chern--Simons theory at level $α$ on surfaces. In this paper, we provide an alternate construction using tools from higher geometry: the pair $(G,α)$ determines a 2-group group, and the Freed--Quinn line arises as a categorical truncation of the bicategory of 2-group bundles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_10773 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Freed--Quinn line bundle from higher geometry Berwick-Evans, Daniel Cliff, Emily Murray, Laura Algebraic Topology Mathematical Physics Category Theory For a finite group $G$, and level $α\in Z^3(BG;{\rm U}(1))$, Freed and Quinn construct a line bundle over the moduli space of $G$-bundles on surfaces. Global sections determine the values of Chern--Simons theory at level $α$ on surfaces. In this paper, we provide an alternate construction using tools from higher geometry: the pair $(G,α)$ determines a 2-group group, and the Freed--Quinn line arises as a categorical truncation of the bicategory of 2-group bundles. |
| title | The Freed--Quinn line bundle from higher geometry |
| topic | Algebraic Topology Mathematical Physics Category Theory |
| url | https://arxiv.org/abs/2510.10773 |